contestada

Match each function with the expression representing its inverse function.

1. x - 4
2. x + 4
3. 0.25x
4. x
5. -2x
6. 2x

A. g ( x ) = -0.5 x
B. h ( x ) = 4 x
C. y = x - 4
D. ƒ( x ) = x/2
E. k ( x ) = x
F. p ( x ) = x + 4


Please help!!

Respuesta :

Medunno13

Answer:

  • A matches with 5.
  • B matches with 3.
  • C matches with 2.
  • D matches with 6.
  • E matches with 4.
  • F matches with 1.

Step-by-step explanation:

To find the inverse of a function [tex]f(x)[/tex], we let [tex]f(y)=x[/tex] and then solve again for y.

For example, using [tex]g(x)=-0.5x[/tex], we will let [tex]g(y)=x[/tex], giving [tex]x=-0.5y[/tex]. This means that [tex]y=-2x[/tex], and thus [tex]g^{-1}(x)=-2x[/tex].

Using similar logic, we see that:

  • A matches with 5.
  • B matches with 3.
  • C matches with 2.
  • D matches with 6.
  • E matches with 4.
  • F matches with 1.

Otras preguntas