What is the inverse of f(x)=((x+3))/(x-4) ?

The inverse of f(x)=((x+3))/(x-4) is (3+4x)/(x-1)

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inverse of f(x)=((x+3))/(x-4)

inverse

f (x) = \frac{( x + 3 )}{x - 4}

\frac{3 + 4 x}{x - 1}

Solution steps

y = \frac{x + 3}{x - 4}

Replace

x

with

y

x = \frac{y + 3}{y - 4}

Solve for

y, x = \frac{y + 3}{y - 4}

\frac{3 + 4 x}{x - 1}

f (x) = sin (2 x)

4 x + 3 y = 9

y^{2}

\frac{1}{x ^{2} + 2 x + 1}

f (x) = 2 - x^{2}

What is the inverse of f(x)=((x+3))/(x-4) ?
The inverse of f(x)=((x+3))/(x-4) is (3+4x)/(x-1)