cindyramirezlopez
cindyramirezlopez cindyramirezlopez
  • 01-05-2019
  • Mathematics
contestada

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x - 4
h(x) = 2x
h(x) = IX
​

Respuesta :

Cxlver
Cxlver Cxlver
  • 01-05-2019

Answer:

Step-by-step explanation:

(1) = f(x) = 4x

[tex]y = 4x\\x = 4y\\y = \frac{x}{4}\\f^{-1}(x) = \frac{x}{4}[/tex]

(2) h(x) = x + 4

y = x + 4

Replace x with y and vice versa:

x = y + 4

And then solve for 'y':

y = x - 4

[tex]h^{-1}(x) = x - 4[/tex]

(3) h(x) = x - 4

y = x - 4

x = y - 4

y = x + 4

[tex]h^{-1}(x) = x + 4[/tex]

(4) h(x) = 2x

y = 2x

x = 2y

y = [tex]\frac{x}{2}[/tex]

[tex]h^{-1}(x) = \frac{x}{2}[/tex]

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