What is the inverse of f(x)=(7x+1)/(-4x+9) ?

The inverse of f(x)=(7x+1)/(-4x+9) is -(1-9x)/(7+4x)

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inverse of f(x)=(7x+1)/(-4x+9)

inverse

f (x) = \frac{7 x + 1}{- 4 x + 9}

- \frac{1 - 9 x}{7 + 4 x}

Solution steps

y = \frac{7 x + 1}{- 4 x + 9}

Replace

x

with

y

x = \frac{7 y + 1}{- 4 y + 9}

Solve for

y, x = \frac{7 y + 1}{- 4 y + 9}

- \frac{1 - 9 x}{7 + 4 x}

f (x) = 0.008 x^{3}

g (x) = - 5 x + 20

f (x) = \frac{6 x + 1}{x - 5}

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

\frac{1}{4 π ^{2}} x (4 π - x)

What is the inverse of f(x)=(7x+1)/(-4x+9) ?
The inverse of f(x)=(7x+1)/(-4x+9) is -(1-9x)/(7+4x)