Posted by **mary** on Tuesday, October 26, 2010 at 7:41am.

Solve the two sided inequality and show the solution on real line

7 < 1-2x ≤ 10

Given two functions as:

f(x) = x2-x-1 and g(x) = 3/x

Find fog(x) also find the domain of f, g and fog

- math -
**Reiny**, Tuesday, October 26, 2010 at 8:19am
7 < 1-2x ≤ 10

6 < -2x ≤ 9

-3 > x ≥ -9/2

or in the more usual form ..

-9/2 ≤ x < -3

- math -
**Reiny**, Tuesday, October 26, 2010 at 8:21am
the second part of your question I had already answered for you yesterday, but here it is again ...

domain of f : any real number

domain of g : any real number except x ≠ 0

fog

= f(g(x))

= f(3/x)

= (3/x)^2 - 3/x - 1

clearly the domain of fog is any real number, except x≠0

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