What is the inverse of f(x)=(4x+7)/(3x-1) ?

The inverse of f(x)=(4x+7)/(3x-1) is (7+x)/(3x-4)

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inverse of f(x)=(4x+7)/(3x-1)

inverse

f (x) = \frac{4 x + 7}{3 x - 1}

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

Solution steps

y = \frac{4 x + 7}{3 x - 1}

Replace

x

with

y

x = \frac{4 y + 7}{3 y - 1}

Solve for

y, x = \frac{4 y + 7}{3 y - 1}

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

x - 9

f (x) = 3 + 2 + 11 x

\frac{1}{3} x^{3} - 2

g (x) = 3 x^{2} - 2 x + 1

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

What is the inverse of f(x)=(4x+7)/(3x-1) ?
The inverse of f(x)=(4x+7)/(3x-1) is (7+x)/(3x-4)