Composition of Functions

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

•  $\frac{1}{4}$  

•  $\frac{1}{8}$  

•  $\frac{7}{2}$  

• 8

Tags

CCSS.HSF-BF.A.1C

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

•  $\frac{1}{3x}+2$ 

•  $3x+2$  

•  $\frac{3}{x}+2$  

•  $\frac{1}{3x+2}$  

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) = 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

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

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1B

When f(x) = 9-3x and g(x) = 5x-7 , find f(x)+g(x). 

• 14x-10
• -8x+2
• 2x+2
• 2x-2

Tags

CCSS.HSF-BF.A.1B