What is the inverse of f(x)=((8x+1))/((2x+5)) ?

The inverse of f(x)=((8x+1))/((2x+5)) is (1-5x)/(2(-4+x))

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inverse of f(x)=((8x+1))/((2x+5))

inverse

f (x) = \frac{( 8 x + 1 )}{( 2 x + 5 )}

\frac{1 - 5 x}{2 ( - 4 + x )}

Solution steps

y = \frac{8 x + 1}{2 x + 5}

Replace

x

with

y

x = \frac{8 y + 1}{2 y + 5}

Solve for

y, x = \frac{8 y + 1}{2 y + 5}

\frac{1 - 5 x}{2 ( - 4 + x )}

What is the inverse of f(x)=((8x+1))/((2x+5)) ?
The inverse of f(x)=((8x+1))/((2x+5)) is (1-5x)/(2(-4+x))