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}

y = 2^{c o s (x)}

- \frac{1}{2} (x + 3)

\frac{x}{2 x + 3}

f (x) = 4 x + 9

f (x) = \frac{( x + 3 )}{( x - 3 )}

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)