What is the inverse of f(x)=(2x-7)/(5x+1) ?

The inverse of f(x)=(2x-7)/(5x+1) is (-7-x)/(5x-2)

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inverse of f(x)=(2x-7)/(5x+1)

inverse

f (x) = \frac{2 x - 7}{5 x + 1}

\frac{- 7 - x}{5 x - 2}

Solution steps

y = \frac{2 x - 7}{5 x + 1}

Replace

x

with

y

x = \frac{2 y - 7}{5 y + 1}

Solve for

y, x = \frac{2 y - 7}{5 y + 1}

\frac{- 7 - x}{5 x - 2}

f (x) = 3 sin (x) + 2

7 + ln (3 x + 1)

f (x) = 100 - x^{2}

f (x) = \frac{1}{2} (x - 4)^{2} - 1

f (x) = (x - 3)^{4} - 1

What is the inverse of f(x)=(2x-7)/(5x+1) ?
The inverse of f(x)=(2x-7)/(5x+1) is (-7-x)/(5x-2)