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

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

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inverse of f(x)=((5x+4))/(8x-7)

inverse

f (x) = \frac{( 5 x + 4 )}{8 x - 7}

\frac{4 + 7 x}{8 x - 5}

Solution steps

y = \frac{5 x + 4}{8 x - 7}

Replace

x

with

y

x = \frac{5 y + 4}{8 y - 7}

Solve for

y, x = \frac{5 y + 4}{8 y - 7}

\frac{4 + 7 x}{8 x - 5}

y = \frac{7}{3} x - 2

- x^{2} - 2 x - 1

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

f (x) = \frac{2 x - 8}{x ^{2} - 9}

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