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If F(x) = 4x + 7, which of the following is the inverse of Fx)?

2 Answers

2 votes

Answer: y=(x/4)-(7/4)

Explanation:

The easiest way to solve for an inverse is to switch the x and y variables. For F(x)=4x+7, which is essentially equal to y=4x+7, you switch the x and y variables and get x=4y+7. You then solve for the y variable, as shown below, to obtain the inverse of the equation.

x=4y+7

4y=x-7

y=(x/4)-(7/4)

User BoilingLime
by
4.8k points
1 vote

Answer:


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

Explanation:

Let y = f(x) and rearrange making x the subject, that is

y = 4x + 7 ( subtract 7 from both sides )

y - 7 = 4x ( divide both sides by 4 )


(y-7)/(4) = x

Change y back into terms of x, hence


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

User Dos
by
5.1k points