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

The inverse of f(x)=((x+7))/(x-4) is (7+4x)/(x-1)

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

inverse

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

\frac{7 + 4 x}{x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{7 + 4 x}{x - 1}

y = 65 + 5 x

f (x) = x (x + 4)

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

y = 2 x^{2} + 8 x - 6

f (x) = x^{3} - x

What is the inverse of f(x)=((x+7))/(x-4) ?
The inverse of f(x)=((x+7))/(x-4) is (7+4x)/(x-1)