What is the inverse of f(x)=((x+16))/(x-14) ?

The inverse of f(x)=((x+16))/(x-14) is (16+14x)/(x-1)

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inverse of f(x)=((x+16))/(x-14)

inverse

f (x) = \frac{( x + 16 )}{x - 14}

\frac{16 + 14 x}{x - 1}

Solution steps

y = \frac{x + 16}{x - 14}

Replace

x

with

y

x = \frac{y + 16}{y - 14}

Solve for

y, x = \frac{y + 16}{y - 14}

\frac{16 + 14 x}{x - 1}

f (x) = \frac{1}{5 x + 2}

\frac{5 ( x ^{2} - 1 )}{x ^{2} - 4}

f (x) = \frac{x ^{3} + 4 x ^{2} - 2}{x ^{2} - 9}

x^{3} - 5

f (x) = 6 x^{4} + 32 x^{3}

What is the inverse of f(x)=((x+16))/(x-14) ?
The inverse of f(x)=((x+16))/(x-14) is (16+14x)/(x-1)