What is the inverse of f(x)=((10x+4))/((8x+7)) ?

The inverse of f(x)=((10x+4))/((8x+7)) is (4-7x)/(2(-5+4x))

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inverse of f(x)=((10x+4))/((8x+7))

inverse

f (x) = \frac{( 10 x + 4 )}{( 8 x + 7 )}

\frac{4 - 7 x}{2 ( - 5 + 4 x )}

Solution steps

y = \frac{10 x + 4}{8 x + 7}

Replace

x

with

y

x = \frac{10 y + 4}{8 y + 7}

Solve for

y, x = \frac{10 y + 4}{8 y + 7}

\frac{4 - 7 x}{2 ( - 5 + 4 x )}

What is the inverse of f(x)=((10x+4))/((8x+7)) ?
The inverse of f(x)=((10x+4))/((8x+7)) is (4-7x)/(2(-5+4x))