113k views
1 vote
Find the inverse of the following function g(x) = 2x+10/4

1 Answer

4 votes

Answer:

Explanation:

To find the inverse of the function you need to swap x and y

g(x)=y so therefore if you switch x and y, you get

x= 2y+ 10/4

Next, you need to get all of the values on the y side over to the x side. To do this you need to subtract 10/4 from the y side of the equation.

x-10/4=2y+10/4-10/4

The end product of this should be... (This is not your answer)

x-10/4=2y

Now you need to get rid of the 2 on the y side. To do this you need to divide both sides of the equation by 2

2/x-10/4=2y/2

So your answer is...

x-10/4 over 2 = y

OR

2/x + 5/4 = y

Lots of love,

-Kiddoo <3

User Peter Krautzberger
by
4.5k points