Answer:
[tex]h(x)=\frac{1}{2}x+5[/tex]
Step-by-step explanation:
To get inverse of a function, we follow the steps shown below:
1. Change f(x) to y, if applicable
2. Interchange x and y
3. Solve for new y
That is the function, name it if applicable.
So, we have:
f(x) = 2x - 10
Now, we do:
y = 2x - 10
Now, we interchange x and y:
x = 2y - 10
Now, we solve for y:
[tex]x = 2y - 10\\2y=x+10\\y=\frac{x+10}{2}\\y=\frac{1}{2}x+5[/tex]
This is the inverse function:
[tex]h(x)=\frac{1}{2}x+5[/tex]
