What is the inverse of f(x)=((x+16))/((x-4)) ?

The inverse of f(x)=((x+16))/((x-4)) is (16+4x)/(x-1)

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inverse of f(x)=((x+16))/((x-4))

inverse

f (x) = \frac{( x + 16 )}{( x - 4 )}

\frac{16 + 4 x}{x - 1}

Solution steps

y = \frac{x + 16}{x - 4}

Replace

x

with

y

x = \frac{y + 16}{y - 4}

Solve for

y, x = \frac{y + 16}{y - 4}

\frac{16 + 4 x}{x - 1}

f (x) = \frac{1}{20 - x}

3 cot (\frac{1}{2} x) - 2

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

\frac{x}{x ^{2} + 14 x + 45}

f (x) = 3 x^{2} - 2 x + 1

What is the inverse of f(x)=((x+16))/((x-4)) ?
The inverse of f(x)=((x+16))/((x-4)) is (16+4x)/(x-1)