Answer: LAST OPTION.
Step-by-step explanation:
Given the function f(x):
[tex]f(x)=2x-10[/tex]
You can follow these steps in order to find its inverse function h(x):
- Rewrite it with [tex]f(x)=y[/tex]:
[tex]y=2x-10[/tex]
- Solve for "x":
[tex]y+10=2x\\\\\frac{y+10}{2}=x\\\\ x=\frac{1}{2}y+5[/tex]
- Exchange the variables:
[tex]y=\frac{1}{2}x+5[/tex]
- Rewrite it with [tex]y=h(x)[/tex]. Then:
[tex]h(x)=\frac{1}{2}x+5[/tex]
