What is the inverse of f(x)=((5x+2))/((3-x)) ?

The inverse of f(x)=((5x+2))/((3-x)) is -(2-3x)/(5+x)

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inverse of f(x)=((5x+2))/((3-x))

inverse

f (x) = \frac{( 5 x + 2 )}{( 3 - x )}

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

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{5 y + 2}{3 - y}

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

lo g_{x} (2)

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

\frac{6}{8 - x}

\frac{x}{3} - 2

f (x) = x^{\frac{- 1}{0.06}}

What is the inverse of f(x)=((5x+2))/((3-x)) ?
The inverse of f(x)=((5x+2))/((3-x)) is -(2-3x)/(5+x)