What is the inverse of f(x)=(8x+9)/(5x-8) ?

The inverse of f(x)=(8x+9)/(5x-8) is (9+8x)/(5x-8)

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inverse of f(x)=(8x+9)/(5x-8)

inverse

f (x) = \frac{8 x + 9}{5 x - 8}

\frac{9 + 8 x}{5 x - 8}

Solution steps

y = \frac{8 x + 9}{5 x - 8}

Replace

x

with

y

x = \frac{8 y + 9}{5 y - 8}

Solve for

y, x = \frac{8 y + 9}{5 y - 8}

\frac{9 + 8 x}{5 x - 8}

in v erse f (x) = sin (x)

in v erse f (x) = 4 - x^{3}

d o main f (x) = x^{2} + 3 x + 7

cr i t i c a l f (x) = 1 - 8 x

s l o p e y = \frac{2}{3} x - 4

What is the inverse of f(x)=(8x+9)/(5x-8) ?
The inverse of f(x)=(8x+9)/(5x-8) is (9+8x)/(5x-8)