What is the inverse of f(x)=((5x+2))/(x-5) ?

The inverse of f(x)=((5x+2))/(x-5) is (2+5x)/(x-5)

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inverse of f(x)=((5x+2))/(x-5)

inverse

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

\frac{2 + 5 x}{x - 5}

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{5 y + 2}{y - 5}

\frac{2 + 5 x}{x - 5}

- \frac{1}{z}

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

f (x) = arctan (ln (3 x))

f (x) = 1 - \frac{6}{5} x

What is the inverse of f(x)=((5x+2))/(x-5) ?
The inverse of f(x)=((5x+2))/(x-5) is (2+5x)/(x-5)