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If g(f) the inverse of
) and fx) = 4x + 12 what is g(x)?
g(x) - 12x + 4
og(x) - x-12
g(x) = x-3
g(x) -
x-3
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Respuesta :

calculista

Answer:

[tex]g(x)=\frac{x}{4}-3[/tex]

Step-by-step explanation:

we have

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

Find the inverse

Let

y=f(x)

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

Exchange the variables (x for y and y for x)

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

Isolate he variable y

subtract 12 both sides

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

divide by 4 both sides

[tex]y=\frac{x}{4}-3[/tex]

Let

g(x)=y

[tex]g(x)=\frac{x}{4}-3[/tex] ---> inverse of the function f(x)

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