Answer: FIRST OPTION.
Step-by-step explanation:
Given the following function:
[tex]f(x)= 4x + 8[/tex]
Follow this steps in order to find its inverse:
1. Rewrite the function with [tex]y=f(x)[/tex]:
[tex]y= 4x + 8[/tex]
2. Solve for "x":
[tex]y-8= 4x\\\\x=\frac{y-8}{4}\\\\x=\frac{y}{4}-2[/tex]
3. Now you must exchange the variables:
[tex]y=\frac{x}{4}-2[/tex]
4. And finally, rewrite the function with [tex]h(x)=y[/tex]:
[tex]h(x)=\frac{x}{4}-2[/tex]
Therefore, the inverse function is [tex]h(x)=\frac{x}{4}-2[/tex]
