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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{1}{s ^{2} + a s}

f (x) = 0.2

y = (x - 3)^{2} + 7, x > 3

f (x) = e^{x}, x \leq 0

\frac{2 x - 3}{5 x + 2}

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