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

The inverse of f(x)=((x+3))/(2-5x) is -(3-2x)/(1+5x)

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

inverse

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

- \frac{3 - 2 x}{1 + 5 x}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{3 - 2 x}{1 + 5 x}

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

π

f (x) = x - 3

f (x) = x^{2} - 6 x + 13

(- 6, 11), (6, - 3)

What is the inverse of f(x)=((x+3))/(2-5x) ?
The inverse of f(x)=((x+3))/(2-5x) is -(3-2x)/(1+5x)