Function Operations and Inverses

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 

• 14x-10
• -8x+2
• 2x+2
• 2x-2

Tags

CCSS.HSA.APR.A.1

f(x)=x²+1
g(x)=2x-5
Find f(x)-g(x)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• (x+3)/(x-2)
• (x-2)/(x+3)
• -2/3
• 3/2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

h(x)=x²-3x-10,
j(x)=3x-2
What is (h/j)(-2)

• -2
• undefined
• 0
• 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.7

f(x)=3x²+1
g(x)=4x+5
What is (f+g)(2)

• 13
• 0
• 26
• 6x²+8x+12

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Tags

CCSS.HSF.BF.B.4

• f^-1(x) = 4x + 7
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28