Composite Functions

Which one is the same as fοg(x)

• g(f(x))

• f(g(x))

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

• 19

• 23

• -10

• None of these.

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

• 16

• 4

• -4

• None of these.

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

• -42

• -26

• -18

• None of these.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14

• 20

• 6

• 7

Given f(x)= -3x + 7 and g(x)=2x² - 8, find g(f(x)).

• g(f(x))= -6x² + 31

• g(f(x))= -6x² + 24

• g(f(x))=18x² - 84x + 90

• g(f(x))=9x² - 42x - 41

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

• -42

• -26

• -18

• None of these.

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

• 16

• 4

• -4

• None of these.

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

If  $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then  $\left(f-g\right)\left(x\right)=$ 

• -4x - 3

• -4x +1

• 6x + 1

• 6x - 3