Composite functions

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

Which one is the same as fοg(x)

• g(f(x))

• f(g(x))

Tags

CCSS.HSF-BF.A.1C

 $g\left(a\right)=2a-1$  
 $h\left(a\right)=a^2+5a$  
Find  $\left(g\circ h\right)\left(-3\right)$  

• -13

• -49

• -84

• 84

Tags

CCSS.HSF-BF.A.1C

 $f\left(x\right)=x-2$  
 $g\left(x\right)=2x-4$  
Find  $\left(f\circ g\right)\left(-5\right)$  

• -16

• -18

• -11

• -14

Tags

CCSS.HSF-BF.A.1C

Given $f\left(x\right)=3x-6$  and  $g\left(x\right)=x^2+4$ , find  $\left(g\circ f\right)\left(-1\right)$  

• 13

• 85

• 9

• 65

Tags

CCSS.HSF-BF.A.1C

Given $f\left(x\right)=\sqrt{4x-4}$  and  $g\left(x\right)=3x+1$ , find  $\left(f\circ g\right)\left(3\right)$  in simplest form.

• -12

• 6

•  $2\sqrt{2}$  

•  $\sqrt{34}$  

Tags

CCSS.HSF-BF.A.1C

Given $f\left(x\right)=\sqrt{4x-4}$  and  $g\left(x\right)=3x+1$ , find  $\left(g\circ f\right)\left(1\right)$  in simplest form.

• undefined

• -1

• 0

• 1

Tags

CCSS.HSF-BF.A.1C

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

Given f(x) = 3x + 10 and g(x) = x - 2, find f∘g(5).

• -10

• 23

• 19

• None of these.

Tags

CCSS.HSF-BF.A.1C

Given f(x) = x+3, find f(-2).

• -1

• 1

• 5

• -5

Tags

CCSS.HSF.IF.A.2