What is the inverse of f(x)=(5+3x)/(2-7x)+11 ?

The inverse of f(x)=(5+3x)/(2-7x)+11 is (27-2x)/(-7x+74)

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inverse of f(x)=(5+3x)/(2-7x)+11

inverse

f (x) = \frac{5 + 3 x}{2 - 7 x} + 11

\frac{27 - 2 x}{- 7 x + 74}

Solution steps

y = \frac{5 + 3 x}{2 - 7 x} + 11

Replace

x

with

y

x = \frac{5 + 3 y}{2 - 7 y} + 11

Solve for

y, x = \frac{5 + 3 y}{2 - 7 y} + 11

\frac{27 - 2 x}{- 7 x + 74}

4 x^{2} - 5

[1 - 1]

f (x) = 4 x + 9 x^{2}

f (x) = ln (e^{x} - 9)

f (x) = x^{2} - 13 x + 55

What is the inverse of f(x)=(5+3x)/(2-7x)+11 ?
The inverse of f(x)=(5+3x)/(2-7x)+11 is (27-2x)/(-7x+74)