What is the inverse of f(x)= 5/(2-x),x\ne 2 ?

The inverse of f(x)= 5/(2-x),x\ne 2 is -(5-2x)/x

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inverse of f(x)= 5/(2-x),x\ne 2

inverse

f (x) = \frac{5}{2 - x}, x \neq = 2

- \frac{5 - 2 x}{x}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{5 - 2 x}{x}

h (x) = x - 3 + 5

f (x) = 3^{x + 6}

x^{2} + 10 x + 28

f (x) = 2 sin (3 x - \frac{π}{2})

f (x) = \frac{4}{3} x + 5

What is the inverse of f(x)= 5/(2-x),x\ne 2 ?
The inverse of f(x)= 5/(2-x),x\ne 2 is -(5-2x)/x