What is the inverse of f(x)=(((5x+31))/((2x-13))) ?

The inverse of f(x)=(((5x+31))/((2x-13))) is (31+13x)/(2x-5)

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inverse of f(x)=(((5x+31))/((2x-13)))

inverse

f (x) = (\frac{( 5 x + 31 )}{( 2 x - 13 )})

\frac{31 + 13 x}{2 x - 5}

Solution steps

y = \frac{5 x + 31}{2 x - 13}

Replace

x

with

y

x = \frac{5 y + 31}{2 y - 13}

Solve for

y, x = \frac{5 y + 31}{2 y - 13}

\frac{31 + 13 x}{2 x - 5}

\frac{1}{2 x + 3}

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

y = 5 - 6 x

g (x) = x^{3} + 2

What is the inverse of f(x)=(((5x+31))/((2x-13))) ?
The inverse of f(x)=(((5x+31))/((2x-13))) is (31+13x)/(2x-5)