Composition and Inverse of Functions

h(x) = -4x + 3

g(x) = 4x - 2

Find h(g(6))

• -107

• 107

• -85

• 85

f(x) = 4x - 6

g(x) = x² -3x - 2

Find f(g(-2))

• 18

• 26

• 236

• -54

When solving f(g(x)) you work in what order?

• Left to right

• Alphabetical

• INSIDE then OUT

• Outside then Inside

f(x) = 2x - 5

g(x) = -4x - 2

Find f(g(-2))

• 25

• -25

• -7

• 7

f(x) = 2x - 2

g(x) = -x - 5

Find f(g(x))

• 2x + 8

• -2x + 8

• 2x - 12

• -2x - 12

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

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

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

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

When proving that f(x) and g(x) are inverses using composition, which must be true?

• (f∘g)(x) = 1

• (f∘g)(x) = -1

• (f∘g)(x) = x

• (f∘g)(x) = 0

Given the following two functions f(x) and g(x), which is the correct statement regarding the composition proof?

• There is an error at Step 1 for set-up

• There is an error at Step 2

• There is an error at Step 3

• There are no errors. This is a valid proof.

Given the following two functions f(x) and g(x), which is the correct statement regarding the composition proof?

• There is an error at Step 1 for set-up

• There is an error at Step 2

• There is an error at Step 3

• There are no errors. This is a valid proof.