What is the inverse of f(x)=((2x+3))/((5-x)) ?

The inverse of f(x)=((2x+3))/((5-x)) is -(3-5x)/(2+x)

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inverse of f(x)=((2x+3))/((5-x))

inverse

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

- \frac{3 - 5 x}{2 + x}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{3 - 5 x}{2 + x}

What is the inverse of f(x)=((2x+3))/((5-x)) ?
The inverse of f(x)=((2x+3))/((5-x)) is -(3-5x)/(2+x)