Find (f+g)(x) and its domain. f ( x ) = x + 3 a n d g ( x ) = x − 2 f\left(x\right)=\sqrt{x+3}\ and\ g\left(x\right)=\sqrt{x-2} f ( x ) = x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> a n d g ( x ) = x − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

x + 3 + x − 2 ; D : [ 2 , ∞ ) \sqrt{x+3}+\sqrt{x-2};\ D:\left[2,\infty\right) x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + x − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ; D : [ 2 , ∞ )

2 x + 1 ; D : [ 3 , ∞ ) \sqrt{2x+1};\ D:\left[3,\infty\right) 2 x + 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ; D : [ 3 , ∞ )

x + 3 + x − 2 ; D : [ 3 , ∞ ) \sqrt{x+3}+\sqrt{x-2};\ D:\left[3,\infty\right) x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + x − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ; D : [ 3 , ∞ )

2 x + 1 ; D : [ 2 , ∞ ) \sqrt{2x+1};\ D:\left[2,\infty\right) 2 x + 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ; D : [ 2 , ∞ )

Combinations of Functions

Authored by Maritsa Menendez

Mathematics

11th Grade

CCSS covered

Used 44+ times

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10 questions

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MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (f+g)(x) $f\left(x\right)=x-5\ and\ g\left(x\right)=x^2-1$

$x^2+x+6$

$x^2-x+6$

$x^2+x-6$

$x^2+x-4$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (f-g)(x) $f\left(x\right)=x-5\ and\ g\left(x\right)=x^2-1$

$x^2+x+6$

$x^2-x-6$

$x^2+x-4$

$x^2-x-4$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (f/g)(x) $f\left(x\right)=x+1\ and\ g\left(x\right)=x^2-1$

$\frac{x+1}{x^2-1}$

$\frac{x+1}{x-1}$

$\frac{1}{x-1}$

$\frac{1}{x+1}$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (fg)(x) $f\left(x\right)=x+1\ and\ g\left(x\right)=x^2-1$

$x^3+x^2-x-1$

$x^3-x^2-x-1$

$x^3+x^2+x+1$

$x^3-x^2+x-1$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (f+g)(x) and its domain. $f\left(x\right)=\sqrt{x+3}\ and\ g\left(x\right)=\sqrt{x-2}$

$\sqrt{2x+1};\ D:\left[3,\infty\right)$

$\sqrt{x+3}+\sqrt{x-2};\ D:\left[3,\infty\right)$

$\sqrt{2x+1};\ D:\left[2,\infty\right)$

$\sqrt{x+3}+\sqrt{x-2};\ D:\left[2,\infty\right)$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (f-g)(x). $f\left(x\right)=2+\frac{1}{x}\ and\ g\left(x\right)=\frac{1}{x}$

$2x$

$2$

$\frac{1}{2x}$

$\frac{1}{2}$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (fg)(x) and its domain. $f\left(x\right)=2+\frac{1}{x}\ and\ g\left(x\right)=\frac{1}{x}$

$\frac{2x+1}{x^2};\ D:\left(-\infty,0\right)\cup\left(0,\infty\right)$

$\frac{x^2}{2x+1};\ D:\left(-\infty,0\right)\cup\left(0,\infty\right)$

$\frac{2x+1}{x^2};\ D:\left(-\infty,\infty\right)$

$\frac{x^2}{2x+1};\ D:\left(-\infty,\infty\right)$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (f/g)(x) and its domain. $f\left(x\right)=\frac{5x+1}{x^2-9}\ and\ g\left(x\right)=\frac{4x-2}{x^2-9}$

$\frac{4x-2}{5x+1};\ D:\left(-\infty,\frac{1}{5}\right]\cup\left[\frac{1}{5},\infty\right]$

$\frac{4x-2}{5x+1};\ D:\left(-\infty,\frac{1}{5}\right)\cup\left(\frac{1}{5},\infty\right)$

$\frac{5x+1}{4x-2};\ D:\left(-\infty,\frac{1}{2}\right]\cup\left[\frac{1}{2},\infty\right]$

$\frac{5x+1}{4x-2};\ D:\left(-\infty,\frac{1}{2}\right)\cup\left(\frac{1}{2},\infty\right)$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (fg)(x) $f\left(x\right)=3x-4\ and\ g\left(x\right)=x+2$

$3x^2-10x-8$

$3x^2-10x+8$

$3x^2+10x+8$

$3x^2+10x-8$

Tags

CCSS.HSF-BF.A.1B

10.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Find (f-g)(x) $f\left(x\right)=3x-4\ and\ g\left(x\right)=x+2$

$2x+2$

$2x+6$

$2x-2$

$2x-6$

Tags

CCSS.HSF-BF.A.1B

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Combinations of Functions

Find (f+g)(x) f(x)=x−5 and g(x)=x2−1f\left(x\right)=x-5\ and\ g\left(x\right)=x^2-1f(x)=x−5 and g(x)=x2−1

Find (f-g)(x) f(x)=x−5 and g(x)=x2−1f\left(x\right)=x-5\ and\ g\left(x\right)=x^2-1f(x)=x−5 and g(x)=x2−1

Find (f/g)(x) f(x)=x+1 and g(x)=x2−1f\left(x\right)=x+1\ and\ g\left(x\right)=x^2-1f(x)=x+1 and g(x)=x2−1

Find (fg)(x) f(x)=x+1 and g(x)=x2−1f\left(x\right)=x+1\ and\ g\left(x\right)=x^2-1f(x)=x+1 and g(x)=x2−1

Find (f+g)(x) and its domain. f(x)=x+3 and g(x)=x−2f\left(x\right)=\sqrt{x+3}\ and\ g\left(x\right)=\sqrt{x-2}f(x)=x+3​ and g(x)=x−2​

Find (f-g)(x). f(x)=2+1x and g(x)=1xf\left(x\right)=2+\frac{1}{x}\ and\ g\left(x\right)=\frac{1}{x}f(x)=2+x1​ and g(x)=x1​

Find (fg)(x) and its domain. f(x)=2+1x and g(x)=1xf\left(x\right)=2+\frac{1}{x}\ and\ g\left(x\right)=\frac{1}{x}f(x)=2+x1​ and g(x)=x1​

Find (f/g)(x) and its domain. f(x)=5x+1x2−9 and g(x)=4x−2x2−9f\left(x\right)=\frac{5x+1}{x^2-9}\ and\ g\left(x\right)=\frac{4x-2}{x^2-9}f(x)=x2−95x+1​ and g(x)=x2−94x−2​

Find (fg)(x) f(x)=3x−4 and g(x)=x+2f\left(x\right)=3x-4\ and\ g\left(x\right)=x+2f(x)=3x−4 and g(x)=x+2

Find (f-g)(x) f(x)=3x−4 and g(x)=x+2f\left(x\right)=3x-4\ and\ g\left(x\right)=x+2f(x)=3x−4 and g(x)=x+2

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Find (f/g)(x) $f\left(x\right)=x+1\ and\ g\left(x\right)=x^2-1$

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Find (f+g)(x) and its domain. $f\left(x\right)=\sqrt{x+3}\ and\ g\left(x\right)=\sqrt{x-2}$

Find (f-g)(x). $f\left(x\right)=2+\frac{1}{x}\ and\ g\left(x\right)=\frac{1}{x}$

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Find (f/g)(x) and its domain. $f\left(x\right)=\frac{5x+1}{x^2-9}\ and\ g\left(x\right)=\frac{4x-2}{x^2-9}$

Find (fg)(x) $f\left(x\right)=3x-4\ and\ g\left(x\right)=x+2$

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