What is the inverse of f(x)=(7x-2)/(4x+5) ?

The inverse of f(x)=(7x-2)/(4x+5) is (-2-5x)/(4x-7)

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inverse of f(x)=(7x-2)/(4x+5)

inverse

f (x) = \frac{7 x - 2}{4 x + 5}

\frac{- 2 - 5 x}{4 x - 7}

Solution steps

y = \frac{7 x - 2}{4 x + 5}

Replace

x

with

y

x = \frac{7 y - 2}{4 y + 5}

Solve for

y, x = \frac{7 y - 2}{4 y + 5}

\frac{- 2 - 5 x}{4 x - 7}

f (x) = - \frac{3}{8} x^{7}

f (x) = \frac{- 6 x - 4}{- 10 x + 3}

f (x) = lo g_{a} (x)

f (x) = (\frac{3}{2}) x + 4

f (x) = 2 x - 2 - 4

What is the inverse of f(x)=(7x-2)/(4x+5) ?
The inverse of f(x)=(7x-2)/(4x+5) is (-2-5x)/(4x-7)