Function Review

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

• 14x-10
• -8x+2
• 2x+2
• 2x-2

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x). 

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18

f(x)=2x+4
g(x)=3x²-1
Find f(x)*g(x)

• 6x⁴+12x³-4x²-8x
• -6x³+12x²+2x-4
• 6x³+12x²-2x-4
• 5x²-18x+20

Tags

CCSS.HSF-BF.A.1B

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

• 19
• 23
• -10
• None of these.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

• 5n+1
• -5n+1
• -2n+1
• -6n-1

Tags

CCSS.HSF-BF.A.1B

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B

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

• 3x² - 2
• 3x + 8
• 3x + 4
• None of these.

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-BF.A.1C

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1