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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 0.5 x^{2} - 3 x + 4.5

f (x) = \frac{14}{4} x - \frac{15}{2}

x - 10

- 1.5 0.1 (x + 6.222) + 0.3

cos (x) - 1

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