What is the inverse of y=(3+10x)/(5x-4) ?

The inverse of y=(3+10x)/(5x-4) is (3+4x)/(5(-2+x))

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inverse of y=(3+10x)/(5x-4)

inverse

y = \frac{3 + 10 x}{5 x - 4}

\frac{3 + 4 x}{5 ( - 2 + x )}

Solution steps

y = \frac{3 + 10 x}{5 x - 4}

Replace

x

with

y

x = \frac{3 + 10 y}{5 y - 4}

Solve for

y, x = \frac{3 + 10 y}{5 y - 4}

\frac{3 + 4 x}{5 ( - 2 + x )}

y = 1 - \frac{1}{2 ^{\frac{x}{c}}}

f (x) = \frac{3}{- x + 1}

f (x) = (\frac{1}{2})^{x} + 1, x < 0

f (x) = \frac{( 2 ^{x} - 1 )}{( 2 ^{x} + 1 )}

\frac{1}{( 1 - x ) ^{2}}

What is the inverse of y=(3+10x)/(5x-4) ?
The inverse of y=(3+10x)/(5x-4) is (3+4x)/(5(-2+x))