What is the inverse of f(x)=(3-7x)/(4+5x) ?

The inverse of f(x)=(3-7x)/(4+5x) is (3-4x)/(5x+7)

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inverse of f(x)=(3-7x)/(4+5x)

inverse

f (x) = \frac{3 - 7 x}{4 + 5 x}

\frac{3 - 4 x}{5 x + 7}

Solution steps

y = \frac{3 - 7 x}{4 + 5 x}

Replace

x

with

y

x = \frac{3 - 7 y}{4 + 5 y}

Solve for

y, x = \frac{3 - 7 y}{4 + 5 y}

\frac{3 - 4 x}{5 x + 7}

Y

y = sin (e^{2 x})

\frac{1}{4 - 1 - x}

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

f (x) = 20 ln (40 t - 1200)

What is the inverse of f(x)=(3-7x)/(4+5x) ?
The inverse of f(x)=(3-7x)/(4+5x) is (3-4x)/(5x+7)