Function Compositions and Domain

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

• 16
• 4
• -4
• None of these.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).
What is the domain?

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

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

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ° g)(x) ?

• 3x²-5

• 3x²-1

• 3x²-4

• 3x²-6

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

• 7

• 97

• 13

• 6

If f(x) = x-1 and g(x) = 2x,

what is and g(f(x)) ?

• 2x²-1

• 2x-1

• 2x-2

• x-2

Given f and g in the graph,

what is f(g(2)) ?

• 3

• 8

• 1

• 4

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4
• 18x² + 48x + 32
• 18x² + 32
• None of these.