What is the inverse of f(x)=((2x+5))/(x-7) ?

The inverse of f(x)=((2x+5))/(x-7) is (5+7x)/(x-2)

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inverse of f(x)=((2x+5))/(x-7)

inverse

f (x) = \frac{( 2 x + 5 )}{x - 7}

\frac{5 + 7 x}{x - 2}

Solution steps

y = \frac{2 x + 5}{x - 7}

Replace

x

with

y

x = \frac{2 y + 5}{y - 7}

Solve for

y, x = \frac{2 y + 5}{y - 7}

\frac{5 + 7 x}{x - 2}

f (x) = 2^{2 x}

\frac{x}{x ^{2} + 1}

f (x) = \frac{3 x + 8}{5}

f (x) = \frac{1}{5} x - 7

f (x) = - 10 x + 5

What is the inverse of f(x)=((2x+5))/(x-7) ?
The inverse of f(x)=((2x+5))/(x-7) is (5+7x)/(x-2)