What is the inverse of f(x)=(x+12)/(x-3) ?

The inverse of f(x)=(x+12)/(x-3) is (12+3x)/(x-1)

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inverse of f(x)=(x+12)/(x-3)

inverse

f (x) = \frac{x + 12}{x - 3}

\frac{12 + 3 x}{x - 1}

Solution steps

y = \frac{x + 12}{x - 3}

Replace

x

with

y

x = \frac{y + 12}{y - 3}

Solve for

y, x = \frac{y + 12}{y - 3}

\frac{12 + 3 x}{x - 1}

f (x) = \frac{5 x ^{2} + 1}{x ^{2} + x + 25}

f (x) = \frac{1}{x + 7} + \frac{3}{x - 9}

x^{2} - 4 x - 5

15 x^{4} - 90 x^{2}

f (x) = \frac{( 2 x - 3 )}{( x - 2 ) ( x - 3 )}

What is the inverse of f(x)=(x+12)/(x-3) ?
The inverse of f(x)=(x+12)/(x-3) is (12+3x)/(x-1)