Question

picture below

Answer 1

The inverse of a function means to raise all terms to the -1 power\[x^{-1} = \frac{ 1 }{ x }\]

so if you do that an apply the rules of exponent and fractions which might be the answer?

Answer 2

^ not exactly when you're trying to find the inverse function.

You replace f(x) with y

Switch the place of x and y

solve for y

change y to f^-1(x) (aka inverse function)

Answer 3

to get the inverse "relation" of the function, all you do is swap about the variables \(\bf f(x)={\color{blue}{ y}}=\cfrac{2{\color{brown}{ x}}+3}{5}\qquad inverse\implies {\color{brown}{ x}}=\cfrac{2{\color{blue}{ y}}+3}{5}\)

then solve for "y"

Answer 4

@marissalovescats a way better explanation

Answer 5

Do you think you can solve the rest from here for y? I started it