Composition of Functions Review

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

Tags

CCSS.HSF-BF.A.1C

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

• 3x + 8
• 3x - 2
• 3x + 4
• None of these.

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

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

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

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

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

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $f\left(g\left(x\right)\right)$  

•  $4x^2-1$  

•  $4x^2-2$  

•  $8x^2-1$  

•  $16x^2-1$  

Tags

CCSS.HSF-BF.A.1C

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $g\left(f\left(x\right)\right)$  

•  $4x^2-1$  

•  $4x^2-2$  

•  $8x^2-1$  

•  $16x^2-1$  

Tags

CCSS.HSF-BF.A.1C

If  $f\left(x\right)=\frac{1}{x}$   and  $g\left(x\right)=3x+2$   find  $f\left(g\left(x\right)\right)$  

•  $\frac{1}{3x}+2$ 

•  $3x+2$  

•  $\frac{3}{x}+2$  

•  $\frac{1}{3x+2}$  

Tags

CCSS.HSF-BF.A.1C