Earn It: Operations w/ Functions & Inverses

Earn It: Operations w/ Functions & Inverses

(Find a clean sheet of paper in your notebook.)

Multiple Choice

 $f\left(n\right)=-2n^2+4$  and  $g\left(n\right)=2n+2$  Find:  $\left(f+g\right)\left(n\right)$  

•  $-n^3-6n$  

•  $n^2-n+6$  

•  $-2n^2+2n+6$  

•  $-2n^2-2n+6$  

Multiple Choice

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

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18

Multiple Choice

 $f\left(x\right)=3x^2-4$  and  $g\left(x\right)=3x+4$  Find:  $\left(f\cdot g\right)\left(x\right)$  

•  $9x^3+12x^2-12x-16$  

•  $9x^2+9x$  

•  $4x^4+16x^2$  

•  $-9x^3+12x^2+12x-16$  

Multiple Choice

f(x) = 3x + 10

g(x) = x - 2

Find f(g(5))

• 19

• 23

• -10

• None of these.

Multiple Choice

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Multiple Choice

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)

Multiple Choice

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)

Multiple Choice

What is the first step in finding the equation of the inverse of a function?

• get x by itself

• switch x and y

• solve for y

• write the function in inverse function notation

Multiple Choice

Find the inverse: f(x) = 3x + 2

• f^-1(x) = 2x + 3

• f^-1(x) = -3x + 2

• f^-1(x) = (x-2)/3

• f^-1(x) = (x-3)/2

Multiple Choice

To prove two functions are inverses of each other, both f(g(x)) and g(f(x) should equal...

• 1

• x

• 0

• y