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In Exercise,find the inverse function of
f(x) = 3/4x - 9

User Stobbej
by
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1 Answer

4 votes

Answer:


f^(-1)(x) = \displaystyle(4x)/(3) +12

Explanation:

We are given the following function in the question:


f(x) = \displaystyle(3)/(4)x-9

We have to find the inverse of the given function.

To find the inverse we solve for x and then interchange the variable.


y = \displaystyle(3)/(4)x - 9\\(3)/(4)x = y + 9\\x = (4)/(3)(y+9)\\\\x = (4y)/(3)+12

Thus, the inverse of the function is


f^(-1)(x) = \displaystyle(4x)/(3) +12

User JesusTheHun
by
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