What is the inverse of f(x)=(2x+9)/(7x+3) ?

The inverse of f(x)=(2x+9)/(7x+3) is (9-3x)/(7x-2)

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inverse of f(x)=(2x+9)/(7x+3)

inverse

f (x) = \frac{2 x + 9}{7 x + 3}

\frac{9 - 3 x}{7 x - 2}

Solution steps

y = \frac{2 x + 9}{7 x + 3}

Replace

x

with

y

x = \frac{2 y + 9}{7 y + 3}

Solve for

y, x = \frac{2 y + 9}{7 y + 3}

\frac{9 - 3 x}{7 x - 2}

f (x) = 2 (x - 3) 2 + 4

f (x) = (\frac{x ^{\frac{1}{5}}}{3})^{3} - 7

5 x^{3} - 6

g (x) = x + 2

y = lo g_{2} (x - 2)

What is the inverse of f(x)=(2x+9)/(7x+3) ?
The inverse of f(x)=(2x+9)/(7x+3) is (9-3x)/(7x-2)