What is the inverse of f(x)=(x+8)/(5x+2) ?

The inverse of f(x)=(x+8)/(5x+2) is (8-2x)/(5x-1)

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inverse of f(x)=(x+8)/(5x+2)

inverse

f (x) = \frac{x + 8}{5 x + 2}

\frac{8 - 2 x}{5 x - 1}

Solution steps

y = \frac{x + 8}{5 x + 2}

Replace

x

with

y

x = \frac{y + 8}{5 y + 2}

Solve for

y, x = \frac{y + 8}{5 y + 2}

\frac{8 - 2 x}{5 x - 1}

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

f (x) = - x^{3} - 6 x^{2} + 3

f (x) = 5

f (x) = (13 - t)^{\frac{1}{4}}

What is the inverse of f(x)=(x+8)/(5x+2) ?
The inverse of f(x)=(x+8)/(5x+2) is (8-2x)/(5x-1)