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

Composition Functions

9th - 10th Grade

•

20 Qs

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Composition Functions

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-BF.A.1C, HSF-BF.A.1B, HSF.IF.A.2

Standards-aligned

Penny O'Brien

Used 13+ times

FREE Resource

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

9 - √17

√8

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find f[g(5)]

242

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f(g(x))

3x - 16

3x - 2

3x - 26

4x - 2

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

(f + g) (x)

5x² + 3x

4x² + 3x

5x² - 3x

4x² - 40x

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

x²+2x+3

4x²+3

2x²+3

2x²+6

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

x²+x+9

x²-x+9

x²-x

x²-x+18

Tags

CCSS.HSF-BF.A.1B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

-10

None of these.

Tags

CCSS.HSF-BF.A.1C

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