help with this math problem?

Question

how do i solve for y when i have to write the equation of the inverse of each given function.

y=4x-8

this one seems to be easy, but i cant figure out how to solve it, showing the work is helpful and appreciated. thanks!!

Answer 1

These are the general steps:

1. you are given your function f(x) = y
2. Switch x's and y's
3. solve for new y

for your problem:
given y=4x-8

x=4y-8 switch
x+8=4y SOLVE
(x+8)/4 = y

So inverse is y = (x+8)/4

note: inverse functions are symetrical about y=x

Answer 2

Don't you mean solve for x? It is already solved for y.
y=4x-8 add 8 to each side
y+8=4x divide by 4
x=y/4+2

Answer 3

You cannot solve for x or y unless there is another linear equation.This means that without knowing the value of x you cannot solve for x and vice versa.

Answer 4

Well no I have 8 digit phone number !

Answer 5

x=4y-8

4y=x+8

y= x+8/4

Answer 6

substitute y for 4x-8 so you get 4x-8=4x-8
solve for x and then you can find y

Answer 7

y=4x-8
x=4y-8
4y=x+8
y=(x+8)/4

Answer 8

y=-32