What is the inverse of f(x)=((x+5))/((x+7)) ?

The inverse of f(x)=((x+5))/((x+7)) is (5-7x)/(x-1)

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inverse of f(x)=((x+5))/((x+7))

inverse

f (x) = \frac{( x + 5 )}{( x + 7 )}

\frac{5 - 7 x}{x - 1}

Solution steps

y = \frac{x + 5}{x + 7}

Replace

x

with

y

x = \frac{y + 5}{y + 7}

Solve for

y, x = \frac{y + 5}{y + 7}

\frac{5 - 7 x}{x - 1}

4 x - 2

y = \frac{2}{3} x - 5

y = \frac{3}{2} x - 6

f (x) = \frac{2 x ^{4} + 5 x + 5}{5 x ^{4} + 3 x - 4}

f (x) = 4 sin (\frac{1}{4} π x - π) - 3

What is the inverse of f(x)=((x+5))/((x+7)) ?
The inverse of f(x)=((x+5))/((x+7)) is (5-7x)/(x-1)