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Assume f(x) = 4x - 7. Find the inverse.74x14x77-4xx + 74I am not sure if my answer is right please help me

Assume f(x) = 4x - 7. Find the inverse.74x14x77-4xx + 74I am not sure if my answer-example-1

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We are given a function and asked to find its inverse. The function is given below


f(x)=4x-7

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


\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} \\ (4x)/(4)=(y+7)/(4) \\ x=(y+7)/(4) \\ \text{Interchange y with x} \\ y=(x+7)/(4) \end{gathered}

If we equate y to be the inverse of the function, the answer becomes


f^(-1)(x)=(x+7)/(4)

ANSWER: fourth option

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