What is the inverse of (10x+5)/(2x-10) ?

The inverse of (10x+5)/(2x-10) is (5+10x)/(2(-5+x))

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inverse of (10x+5)/(2x-10)

inverse

\frac{10 x + 5}{2 x - 10}

\frac{5 + 10 x}{2 ( - 5 + x )}

Solution steps

y = \frac{10 x + 5}{2 x - 10}

Replace

x

with

y

x = \frac{10 y + 5}{2 y - 10}

Solve for

y, x = \frac{10 y + 5}{2 y - 10}

\frac{5 + 10 x}{2 ( - 5 + x )}

f (x) = g (x) = x^{2} - 5 x - 6

y = 10 - 2 x

f (x) = f (x) = 2 (x - 3) 2 + 5

\frac{( 2 x + 7 )}{( 4 x + 10 )}

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