What is the inverse of f(x)=(4+3x)/(5-x) ?

The inverse of f(x)=(4+3x)/(5-x) is -(4-5x)/(3+x)

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inverse of f(x)=(4+3x)/(5-x)

inverse

f (x) = \frac{4 + 3 x}{5 - x}

- \frac{4 - 5 x}{3 + x}

Solution steps

y = \frac{4 + 3 x}{5 - x}

Replace

x

with

y

x = \frac{4 + 3 y}{5 - y}

Solve for

y, x = \frac{4 + 3 y}{5 - y}

- \frac{4 - 5 x}{3 + x}

f (x) = 3 ln (x - 3)

f (x) = \frac{8 x - 9}{x + 1}

x - 1 + 4

f (x) = \frac{4 ( x + 2 )}{2}

What is the inverse of f(x)=(4+3x)/(5-x) ?
The inverse of f(x)=(4+3x)/(5-x) is -(4-5x)/(3+x)