What is the inverse of f(x)=((2x+7))/((4-x)) ?

The inverse of f(x)=((2x+7))/((4-x)) is -(7-4x)/(2+x)

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inverse of f(x)=((2x+7))/((4-x))

inverse

f (x) = \frac{( 2 x + 7 )}{( 4 - x )}

- \frac{7 - 4 x}{2 + x}

Solution steps

y = \frac{2 x + 7}{4 - x}

Replace

x

with

y

x = \frac{2 y + 7}{4 - y}

Solve for

y, x = \frac{2 y + 7}{4 - y}

- \frac{7 - 4 x}{2 + x}

What is the inverse of f(x)=((2x+7))/((4-x)) ?
The inverse of f(x)=((2x+7))/((4-x)) is -(7-4x)/(2+x)