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 :)
