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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{16 - x ^{2}}{x + 2}

f (x) = 4 x^{3} - 48 x - 3

(x - 2)^{3} + 3

sin (π x) + 5

y = \frac{1}{x + 3} - 7

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