Operation on Functions and Composition of Functions

Authored by Katrina Elano

Mathematics

8th - 11th Grade

CCSS covered

Used 79+ times

Operation on Functions and Composition of Functions

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10 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

$x^{2\ }+3x+3$

$x^{2\ }+3x-3$

$4x^{2\ }-3$

$3x-3$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

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

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

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

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

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

$2x^{3\ }+x^2-5x+2$

$2x^{3\ }+1$

$2x^{3\ }+2x^2-5x+1$

$2x^{2\ }-5x+2$

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

$\frac{2x}{x-2}$

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

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

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

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let
$f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(\frac{f}{g}\right)\left(x\right).$

$\sqrt{x-1}$

$x-4$

$\frac{x^2+4}{\sqrt{x-1}}$

$\frac{\sqrt{x-1}}{x^2+4}$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let
$f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(f+g\right)\left(x\right).$

$\sqrt{x-1}-x^2+4$

$\sqrt{x-1}+x^2+4$

$\sqrt{x-1}-x^2-4$

$\sqrt{x-1}+x^2-4$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Let
$f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(f-g\right)\left(x\right).$

$\sqrt{x-1}-x^2+4$

$\sqrt{x-1}+x^2+4$

$\sqrt{x-1}-x^2-4$

$\sqrt{x-1}+x^2-4$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let
$f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(f\ \circ\ g\right)\left(x\right).$

$x^2+3x-2$

$x^2-x-2$

$4x-2$

$x^2+x-2$

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let
$f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(g\ \circ\ g\right)\left(x\right).$

$x-2$

$-2x$

$x-4$

$x^2-4$

Tags

CCSS.HSF-BF.A.1C

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let
$f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(f\ \circ\ f\right)\left(x\right).$

$x-2$

$x^4+12x^2+9x$

$x^4+6x^3+12x^2+9x$

$x^2+3x-2$

Tags

CCSS.HSF-BF.A.1C

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Operation on Functions and Composition of Functions

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

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

Let f(x)=2x−1 and g(x)=x2+x−2. Find (f⋅g)(x).f\left(x\right)=2x-1\ and\ g\left(x\right)=x^2+x-2.\ Find\ \left(f\cdot g\right)\left(x\right).f(x)=2x−1 and g(x)=x2+x−2. Find (f⋅g)(x).

Let f(x)=2x−1 and g(x)=x2+x−2. Find (fg)(x).f\left(x\right)=2x-1\ and\ g\left(x\right)=x^2+x-2.\ Find\ \left(\frac{f}{g}\right)\left(x\right).f(x)=2x−1 and g(x)=x2+x−2. Find (gf​)(x).

Let f(x)=x−1 and g(x)=x2+4. Find (fg)(x).f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(\frac{f}{g}\right)\left(x\right).f(x)=x−1​ and g(x)=x2+4. Find (gf​)(x).

Let f(x)=x−1 and g(x)=x2+4. Find (f+g)(x).f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(f+g\right)\left(x\right).f(x)=x−1​ and g(x)=x2+4. Find (f+g)(x).

Let f(x)=x−1 and g(x)=x2+4. Find (f−g)(x).f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(f-g\right)\left(x\right).f(x)=x−1​ and g(x)=x2+4. Find (f−g)(x).

Let f(x)=x2+3x and g(x)=x−2. Find (f ∘ g)(x).f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(f\ \circ\ g\right)\left(x\right).f(x)=x2+3x and g(x)=x−2. Find (f ∘ g)(x).

Let f(x)=x2+3x and g(x)=x−2. Find (g ∘ g)(x).f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(g\ \circ\ g\right)\left(x\right).f(x)=x2+3x and g(x)=x−2. Find (g ∘ g)(x).

Let f(x)=x2+3x and g(x)=x−2. Find (f ∘ f)(x).f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(f\ \circ\ f\right)\left(x\right).f(x)=x2+3x and g(x)=x−2. Find (f ∘ f)(x).

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

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

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

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

Let
$f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(\frac{f}{g}\right)\left(x\right).$

Let
$f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(f+g\right)\left(x\right).$

Let
$f\left(x\right)=\sqrt{x-1}\ and\ g\left(x\right)=x^2+4.\ Find\ \left(f-g\right)\left(x\right).$

Let
$f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(f\ \circ\ g\right)\left(x\right).$

Let
$f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(g\ \circ\ g\right)\left(x\right).$

Let
$f\left(x\right)=x^2+3x\ and\ g\left(x\right)=x-2.\ Find\ \left(f\ \circ\ f\right)\left(x\right).$