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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = e^{x} - 3

f (x) = x^{2} - 2 x - 8, x > 1

f (x) = \frac{4}{9 x}

f (x) = \frac{2}{5 x}

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