composition and inverse of functions

Find f[g(5)]

• 30

• 242

• 92

• 2

Tags

CCSS.HSF-BF.A.1C

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

Tags

CCSS.HSF-BF.A.1C

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Tags

CCSS.HSF-BF.A.1C

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

• 7

• 97

• 13

• 6

Tags

CCSS.HSF-BF.A.1C

If f(x) = x-1 and g(x) = 2x,

what is and g(f(x)) ?

• 2x²-1

• 2x-1

• 2x-2

• x-2

Tags

CCSS.HSF-BF.A.1C

• 9 - √5
• √14
• 16
• 4

Tags

CCSS.HSF-BF.A.1C

• 5
• 25
• √23
• 31

Tags

CCSS.HSF-BF.A.1C

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(½)).

• 35/4
• 13/4
• 17/2
• None of the Above

Tags

CCSS.HSF-BF.A.1C

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4
• 18x² + 48x + 32
• 18x² + 32
• None of these.

Tags

CCSS.HSF-BF.A.1C

Find the inverse of  $f\left(x\right)=3x+2$  

•  $f^{-1}\left(x\right)=\frac{x-2}{3}$  

•  $f^{-1}\left(x\right)=\frac{x-3}{2}$  

•  $f^{-1}\left(x\right)=\frac{3x}{2}$  

•  $f^{-1}\left(x\right)=\frac{2+x}{3}$  

Tags

CCSS.HSF-BF.B.4A