Composition of Functions Quiz

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

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(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

 $Find\ f\left(g\left(x\right)\right)$  

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

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(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

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ° g)(x) ?

• 3x²-5

• 3x²-1

• 3x²-4

• 3x²-6

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

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

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C