Saturday

January 31, 2015

January 31, 2015

Posted by **Rachale** on Sunday, June 28, 2009 at 12:16pm.

- Algebra -
**MathMate**, Sunday, June 28, 2009 at 12:25pm(fog)(x) is a notation for substituting g(x) for x in the definition of f(x), in other words,

(fog)(x) = f(g(x))

Using f(x) = 6/x-1

and g(x) = 1+3/x

you would find

(fog)(x)

= f(g(x))

= 6/g(x) -1

= 6/(1+3/x) - 1

= (5x-3)/(x+3)

- Algebra -
**Rachale**, Sunday, June 28, 2009 at 12:28pmSo in other words the final answer would be what? I got 2x. Is this correct?

- Algebra -
**MathMate**, Sunday, June 28, 2009 at 2:14pmI got (5x-3)/(x+3).

Can you show me how you got 2x?

- Algebra -
**MathMate**, Sunday, June 28, 2009 at 2:28pmActually, it slipped my memory:

There is probably a mis-interpretation of the parentheses:

f(x) = 6/**(x-1)**and g(x) = 1+3/x

so

f º g (x)

=f(g(x))

=f(+3/x)

=6/(1+3/x-1)

=6/(3/x)

=2x

If this is the case, the answer is (A).

See:

http://www.jiskha.com/display.cgi?id=1245900271

**Answer this Question**

**Related Questions**

Algebra - Help please! I got so far with this and stopped because of confusion. ...

college algebra, Please help!! - find the domain of the composite function of ...

college algebra--need help please!! - find the domain of the composite function ...

Algebra - Very confused, and in need of help! I got 10 problems like this......

college algebra--I really need help!! - Find the domain of the composite ...

urgent urgent algebra - find the composite function fog f(X) = 1/X-5,g(x)-6/x ...

math - find the domain of the composite function fog. f(x)=x/x-2;g(x)=-8/x a. ...

math - find the domain of composite function fog f(x)=x/x-4; g(x)= -1/x please ...

Domain of composite function - Find the domain of the composite function fog. f(...

Composite Functions - f(x)=(7x+28)/(x-3) and g(x)=(3x+28)/(x-7) Find: (fog)(x) (...