Combining/Composite Functions Review

f(n)=2n+1

g(n)=3n

Find f(n) + g(n)

• 5n+1

• -5n+1

• -2n+1

• -6n-1

Tags

CCSS.HSA.APR.A.1

f(x)=x+5

g(x)=-3x-6

Find:

(f + g)(x)

• -4x-1

• -2x-1

• -4x-11

• -2x-11

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(n)=x²+1

g(n)=2x-5

Find f(n) - g(n)

• x²-2x+6

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

Tags

CCSS.HSA.APR.A.1

• t³ + 5t² + t - 5

• -t³ + 5t² - t - 5

• t² - 2t + 1

• 3t³ + 3t - 3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

• 2n + 2
• -2n - 2
• -2n + 2
• 8n - 6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

g(x)=3x+4

h(x)=3x-1

Find (g ∘ h)(x)

Which is the same thing as g(h(x))

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Which is the same thing as h(t) · g(t)

"Multiply them together"

• 2t⁴ - 4t³

• 8t² - 10t - 12

• 8t² + 10t - 12

• -2t³ - 7t² + 4t

Tags

CCSS.HSA.APR.A.1

• -4x⁴ - 10x³ - 8x - 20
• -4x³ - 4x² 0 8x - 8
• -x³ - 11x² - 30x
• x³ - 11x² + 30x

Tags

CCSS.HSA.APR.A.1

f(x) = x² + 4 + 2x

g(x) = -3x + 2

Find (f + g)(-3) =

Hint: Add both functions together first, then plug -3 in.

• 0

• 7

• 11

• 18

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x) = 3x + 10

g(x) = x - 2

Find f(g(5))

Hint: Solve g(5) first, then take that answer and plug it into f(x).

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2