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

## Answer This Question

## Related Questions

- math - Solve the two sided inequality and show the solution on real line 7 <...
- calculus - Given two functions as: f(x) = x2-x-1 and g(x) = 3/x Find fog(x) ...
- math - find the domain of the composite function fog. f(x)=x/x-2;g(x)=-8/x a. ...
- calculus - Solve the two sided inequality and show the solution on real line 7 &...
- college algebra - 1. answer the following for the given quadratic function f(x)=...
- Composite Functions - f(x)=(7x+28)/(x-3) and g(x)=(3x+28)/(x-7) Find: (fog)(x) (...
- algebra 1 help please - 4) a student score is 83 and 91 on her first two quizzes...
- math - 1. Solve for the indicated letter D=4e, for e The solution is e= 2. G(x...
- math - Find functions f & g so that fog = H H(x)=(3x+2)^6 Please show work
- math - find functions of f and g so that fog = H h(x)=(3x+2)^6 please show work

More Related Questions