Composite & Inverse Functions

• -19

• -21

• 17

• -1

• 9

• -9

• -15

• -13

• 6x² - 1

• 6x - 3

• 5x - 1

• 6x² - 3x

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

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

• g(f(x))= -3x²-6

• g(f(x))= -3x²+2

• g(f(x))=9x²+2

• g(f(x))= -9x²+2

• 9 - √17

• 4

• 2

• √8

You can find a function's inverse algebraically by

• Replacing each x with y, and each y with x

• Evaluating f(x) for x = 0

• Setting f(x) = 0 and

  then solving for x

• Replacing each x with its best friend

The composition of any function, f(x), and

its inverse, f^-1(x) =

• x

• f(x)

• 1

• 0

• 2

• 11

• -11

• -9

Find the inverse

f(x)=2x-2

• f^-1(x)=1/2x+1

• f^-1(x)=-2-1/2x

• f^-1(x)=-7/3x-20/3

• 2-2/5x