We are given a function and asked to find its inverse. The function is given below
[tex]f(x)=4x-7[/tex]
To find the inverse we will follow the following steps
1) Exchange f(x) with y
2) Make x the subject of the formula
3) Interchange y with x
[tex]\begin{gathered} f(x)=4x-7 \\ Exchange\text{ f(x) with y} \\ y=4x-7 \\ Make\text{ x the subject of formula} \\ 4x=y+7 \\ Divide\text{ both sides by 4} \\ \frac{4x}{4}=\frac{y+7}{4} \\ x=\frac{y+7}{4} \\ \text{Interchange y with x} \\ y=\frac{x+7}{4} \end{gathered}[/tex]
If we equate y to be the inverse of the function, the answer becomes
[tex]f^{-1}(x)=\frac{x+7}{4}[/tex]
ANSWER: fourth option
