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FunctionFind the inverse function of  g(x)=-2/(x+1)

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galbenusa | Student, Grade 10 | eNoter

Posted May 24, 2011 at 8:15 AM via web

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Function

Find the inverse function of  g(x)=-2/(x+1)

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giorgiana1976 | College Teacher | Valedictorian

Posted May 24, 2011 at 10:19 PM (Answer #2)

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We'll determine the inverse of g(x) in this way.

Let g(x) = y

y = -2/(x+1)

Now, we'll find x with respect to y. F

y(x+1) = -2

We'll remove the brackets and we'll get:

yx + y = -2

We'll isolate x to the left side and we'll get:

yx = -2 - y

We'll divide by y:

x = -(2+y)/y

Therefore, the inverse function is: f^-1(x) = -(2+x)/x

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