Function Composition

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

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

Tags

CCSS.HSF-BF.A.1C

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF-BF.A.1C

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182
• 40
• 61
• None of the Above

Tags

CCSS.HSF-BF.A.1C

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

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

• 8
• -8
• 28
• None of these.

Tags

CCSS.HSF-BF.A.1C

Find f[g(5)]

• 30

• 242

• 92

• 2

Tags

CCSS.HSF-BF.A.1C

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

Tags

CCSS.HSF-BF.A.1C

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

• 3

• -3

• 21

• -21

Tags

CCSS.HSF-BF.A.1C

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

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

what is and g(f(x)) ?

• 2x²-1

• 2x-1

• 2x-2

• x-2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2