What is the inverse of f(x)=((2x+7))/(10x-12) ?

The inverse of f(x)=((2x+7))/(10x-12) is (7+12x)/(2(-1+5x))

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inverse of f(x)=((2x+7))/(10x-12)

inverse

f (x) = \frac{( 2 x + 7 )}{10 x - 12}

\frac{7 + 12 x}{2 ( - 1 + 5 x )}

Solution steps

y = \frac{2 x + 7}{10 x - 12}

Replace

x

with

y

x = \frac{2 y + 7}{10 y - 12}

Solve for

y, x = \frac{2 y + 7}{10 y - 12}

\frac{7 + 12 x}{2 ( - 1 + 5 x )}

What is the inverse of f(x)=((2x+7))/(10x-12) ?
The inverse of f(x)=((2x+7))/(10x-12) is (7+12x)/(2(-1+5x))