Mathematics: If g(x) is the inverse of f(x) and s(x) = 4x+12, what is g(x)? g(x) = 12x + 4 g(x) = 4x12 g(x) = x= 3 8(t) = 1x-3

True would be ur answerHope I helped:D ...

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

lackin2056

14.01.2022

$g(x)=\frac{1}{4}x-3$

Step-by-step explanation:

we have

f(x)=4x+12

Find the inverse

step 1

Let

y=f(x)

y=4x+12

step 2

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

x=4y+12

step 3

Isolate the variable y

we have

x=4y+12

Subtract 12 both sides

x-12=4y

Divide by 4 both sides

$y=\frac{x-12}{4}$

simplify

$y=\frac{1}{4}x-3$

step 4

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\frac{1}{4}x-3$

we have that

$g(x)=f^{-1}(x)$

therefore

$g(x)=\frac{1}{4}x-3$

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