Function Notation & Composite Functions

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• 8x - 32
• 8x² - 32x
• 8x - 8
• 6x - 8

Tags

CCSS.HSF-BF.A.1C

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

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 7
• -2
• -9
• -10

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• g(-12) = 19
• g(-12) = 1

Tags

CCSS.HSF.IF.A.2

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10

g(x) = x - 2

Find (f∘g)(0)

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4

h(x)=3x-1

Find (g∘h)(x)

Tags

CCSS.HSF-BF.A.1C