Respuesta :

we have the function

[tex]f(x)=\frac{x+2}{3}[/tex]

step 1

Find the inverse

Let

y=f(x)

so

y=(x+2)/3

step 2

Exchange the variables

x for y and y for x

x=(y+2)/3

step 3

Isolate the variable y

3x=y+2

y=3x-2

the inverse function is

f^-1(x)=3x-2

therefore

f^-1(4)=3(4)-2

f^-1(4)=10

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