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}

f (x) = x^{2}

\frac{1}{2} y + 2 = 0

f (x) = sin (ln (x^{3} - 2))

\frac{x - 8}{7}

f (x) = x^{4} - 8 x^{2} + 3

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)