Question

Find the inverse function to y=f(x)=4−7x5−5x.

x=g(y)=

Answer 1

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Answer:

x = g(y) = (4 -5y)/(7 -5y)

Explanation:

The inverse function y = f(x) is found by solving x = f(y) for y.

`x=f(y)\\\\x=(4-7y)/(5-5y)\\\\5x-5xy=4-7y\qquad\text{multiply by $(5-5y)$}\\\\7y-5xy=4-5x\qquad\text{add $(7y-5x)$}\\\\y=(4-5x)/(7-5x)`

You apparently want this written as a function of y:

x = g(y) = (4 -5y)/(7 -5y)