What is the inverse of f(x)=((2x+3))/(x-8) ?

The inverse of f(x)=((2x+3))/(x-8) is (3+8x)/(x-2)

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inverse of f(x)=((2x+3))/(x-8)

inverse

f (x) = \frac{( 2 x + 3 )}{x - 8}

\frac{3 + 8 x}{x - 2}

Solution steps

y = \frac{2 x + 3}{x - 8}

Replace

x

with

y

x = \frac{2 y + 3}{y - 8}

Solve for

y, x = \frac{2 y + 3}{y - 8}

\frac{3 + 8 x}{x - 2}

f (x) = (x + 7)^{2} - 3

f (x) = 3 - \frac{12}{x + 2}

3 x^{4} - 28 x^{3} + 60 x^{2}

y = 2^{x - 1}

\frac{x}{∣ x - 2 ∣}

What is the inverse of f(x)=((2x+3))/(x-8) ?
The inverse of f(x)=((2x+3))/(x-8) is (3+8x)/(x-2)