What is the inverse of f(x)=(8x+9)/(7x-8) ?

The inverse of f(x)=(8x+9)/(7x-8) is (9+8x)/(7x-8)

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inverse of f(x)=(8x+9)/(7x-8)

inverse

f (x) = \frac{8 x + 9}{7 x - 8}

\frac{9 + 8 x}{7 x - 8}

Solution steps

y = \frac{8 x + 9}{7 x - 8}

Replace

x

with

y

x = \frac{8 y + 9}{7 y - 8}

Solve for

y, x = \frac{8 y + 9}{7 y - 8}

\frac{9 + 8 x}{7 x - 8}

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

\frac{5}{x + 4}

\frac{5}{x + 3}

f (x) = - 10 x^{6}

f (x) = 14 - x^{2}, x \geq 0

What is the inverse of f(x)=(8x+9)/(7x-8) ?
The inverse of f(x)=(8x+9)/(7x-8) is (9+8x)/(7x-8)