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

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

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

inverse

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

\frac{1 - 2 x}{5 x - 7}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{1 - 2 x}{5 x - 7}

f (x) = 900 - 4 x^{2}

f (x) = (16 - x^{2})

- x

f (x) = 3 x^{2} + 6 x + 5

f (x) = \frac{3}{4} - x

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