If f ( x ) = x − 1 f\left(x\right)\ =\ x-1 f ( x ) = x − 1 and g ( x ) = 5 x − 2 g\left(x\right)=5x-2 g ( x ) = 5 x − 2 , then ( f g ) ( x ) \left(\frac{f}{g}\right)\left(x\right) ( g f ) ( x )

x − 1 5 x − 2 \frac{x-1}{5x-2} 5 x − 2 x − 1

5 x − 2 x − 1 \frac{5x-2}{x-1} x − 1 5 x − 2

Operations on Functions

Quiz

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.A.1B, HSF-BF.A.1C

Standards-aligned

Kelli Roskopf

Used 721+ times

FREE Resource

14 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f+g\right)\left(x\right)=$

$5x^2+1$

$5x^2-3$

$6x+1$

$6x-3$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f-g\right)\left(x\right)=$

-4x - 3

-4x +1

6x + 1

6x - 3

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f\cdot g\right)\left(x\right)=$

$5x-3$

$5x^2+2$

$5x^2-7x+2$

$5x-7$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(\frac{f}{g}\right)\left(x\right)$

$\frac{x-1}{5x-2}$

$\frac{5x-2}{x-1}$

$\frac{-1}{3}$

$-3$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f+g\right)\left(x\right)=$

$4x^4-8x-8$

$4x^4-8x$

$4x^2-8x-8$

$4x^2-8x$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f-g\right)\left(x\right)=$

$2x^2-8x-8$

$2x^2+8x-8$

$2x^2-8x$

$2x^2+8x$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f\cdot g\right)\left(x\right)=$

$3x^4-24x^3+8x^2+32x-16$

$3x^4-8x-16$

$3x^4-24x^3+8x^2-32x-16$

$3x^4-24x^3+16x^2+32x-16$

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(\frac{f}{g}\right)\left(x\right)=$

$\frac{3x^2-4}{x^2-8x+4}$

$\frac{x^2-8x+4}{3x^2-4}$

$\frac{3x^2-1}{x^2-8x}$

$\frac{1}{-4x}$

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(f\circ g\right)\left(x\right)=$

$3x-2$

$3x+8$

$3x^2+8x-35$

$3x-12$

Tags

CCSS.HSF-BF.A.1C

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(g\circ f\right)\left(x\right)=$

$3x-2$

$3x+8$

$3x^2+8x-35$

$3x-12$

Tags

CCSS.HSF-BF.A.1C

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If f(x) = x−1f\left(x\right)\ =\ x-1f(x) = x−1 and g(x)=5x−2g\left(x\right)=5x-2g(x)=5x−2 , then (f+g)(x)=\left(f+g\right)\left(x\right)=(f+g)(x)=

If f(x) = x−1f\left(x\right)\ =\ x-1f(x) = x−1 and g(x)=5x−2g\left(x\right)=5x-2g(x)=5x−2 , then (f−g)(x)=\left(f-g\right)\left(x\right)=(f−g)(x)=

If f(x) = x−1f\left(x\right)\ =\ x-1f(x) = x−1 and g(x)=5x−2g\left(x\right)=5x-2g(x)=5x−2 , then (f⋅g)(x)=\left(f\cdot g\right)\left(x\right)=(f⋅g)(x)=

If f(x) = x−1f\left(x\right)\ =\ x-1f(x) = x−1 and g(x)=5x−2g\left(x\right)=5x-2g(x)=5x−2 , then (fg)(x)\left(\frac{f}{g}\right)\left(x\right)(gf​)(x)

If f(x) = 3x2−4f\left(x\right)\ =\ 3x^2-4f(x) = 3x2−4 and g(x)=x2−8x+4g\left(x\right)=x^2-8x+4g(x)=x2−8x+4 , then (f+g)(x)=\left(f+g\right)\left(x\right)=(f+g)(x)=

If f(x) = 3x2−4f\left(x\right)\ =\ 3x^2-4f(x) = 3x2−4 and g(x)=x2−8x+4g\left(x\right)=x^2-8x+4g(x)=x2−8x+4 , then (f−g)(x)=\left(f-g\right)\left(x\right)=(f−g)(x)=

If f(x) = 3x2−4f\left(x\right)\ =\ 3x^2-4f(x) = 3x2−4 and g(x)=x2−8x+4g\left(x\right)=x^2-8x+4g(x)=x2−8x+4 , then (f⋅g)(x)=\left(f\cdot g\right)\left(x\right)=(f⋅g)(x)=

If f(x) = 3x2−4f\left(x\right)\ =\ 3x^2-4f(x) = 3x2−4 and g(x)=x2−8x+4g\left(x\right)=x^2-8x+4g(x)=x2−8x+4 , then (fg)(x)=\left(\frac{f}{g}\right)\left(x\right)=(gf​)(x)=

If f(x) = x+5f\left(x\right)\ =\ x+5f(x) = x+5 and g(x)=3x−7g\left(x\right)=3x-7g(x)=3x−7 , then (f∘g)(x)=\left(f\circ g\right)\left(x\right)=(f∘g)(x)=

If f(x) = x+5f\left(x\right)\ =\ x+5f(x) = x+5 and g(x)=3x−7g\left(x\right)=3x-7g(x)=3x−7 , then (g∘f)(x)=\left(g\circ f\right)\left(x\right)=(g∘f)(x)=

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If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f+g\right)\left(x\right)=$

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f-g\right)\left(x\right)=$

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f\cdot g\right)\left(x\right)=$

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(\frac{f}{g}\right)\left(x\right)$

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f+g\right)\left(x\right)=$

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f-g\right)\left(x\right)=$

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f\cdot g\right)\left(x\right)=$

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(\frac{f}{g}\right)\left(x\right)=$

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(f\circ g\right)\left(x\right)=$

If $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then $\left(g\circ f\right)\left(x\right)=$