Functions and Functions Notation

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

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

• -42

• -26

• -18

• None of these.

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

• 7

• -2

• -9

• -10

Given g(x) = 3/4 x + 10, find g(-12). 

• g(-12) = 19

• g(-12) = 1

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

g(x)=3x+4

h(x)=3x-1

Find (g∘h)(x)

If f(x) = 2x + 1, what would be your first step to find f(1)?

• Plug a 1 in for all the x's

• Set the function equal to 1

• Only plug a 1 into the left side

• Only plug a 1 into the right side

f(x)=4x+5
f(4)=

• 21

• -11

• -31

• 25