what is the inverse of h(x)=1/4x+2/9

Question

what is the inverse of h(x)=1/4x+2/9

Answer 1

Hi Raven,

 

To find the inverse of a function I use the following steps

 

1) state the function

h(x) = 1/4 x + 2/9

 

2) change the h(x) to a y

y = 1/4 x + 2/9

 

3) Change the x to a y and the y to an x

x = 1/4 y + 2/9

 

4) solve for y

x = 1/4 y + 2/9

x-2/9 = 1/4 y

4(x-2/9) = y

y = 4x-8/9

 

5) change y to h^-1(x)

h^-1(x) = 4x-8/9