Operations Compositions and Inverses of Functions

• A.
• B.
• C.
• D.

When f(x) = x² -9 
and g(x) = x+3 ,
find f(x) / g(x). 

• x-3

• x+3

• x-12

• x-6

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

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y

• replace y with f^-1(x)

• solve for x

• find the greatest common factor

• 6x-1
• 5x²-15x-6
• -8x-6
• 5x²-13x-6

Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute:  (h ^o g)(x)

• 3x² + 3

• -1

• 6x - 3

• 9x² + 1

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4

• 18x² + 48x + 32

• 18x² + 32

• None of these.

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

f(x) = x²+9

g(x) = x-9

Find (f-g)(x).

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

Given f(x) = 2x - 5 and g(x) = x² − 4x + 5 What is (g-f)(x) =

• x²-6x+10

• -x²+6x-10

• x²-6x

• -x²-2x