cutie92 cutie92
  • 13-12-2019
  • Mathematics
contestada

if g(x) is the inverse of (fx) and f(x)= 4x+12, what is g(x)

Respuesta :

itemderby itemderby
  • 13-12-2019

Answer:  [tex]g(x)=\frac{x-12}{4}[/tex]

Step-by-step explanation:

Alright, lets get started.

[tex]f(x)=4x+12[/tex]

Suppose y is f(x), then

[tex]y=4x+12[/tex]

For finding inverse function, lets interchange the variables x and y

[tex]x=4y+12[/tex]

Subtracting 12 form both sides

[tex]x-12=4y+12-12[/tex]

[tex]x-12=4y[/tex]

Dividing 4 in both sides

[tex]\frac{x-12}{4}=y[/tex]

[tex]y=\frac{x-12}{4}[/tex]

Hence the inverse of f(x) is [tex]\frac{x-12}{4}[/tex]

[tex]g(x)=\frac{x-12}{4}[/tex]..................Answer

Hope it will help :)

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