Posted by Alicia on Friday, June 12, 2009 at 10:16am.
Given that f(x) = x^23 and g(x) = 2x+1, find each of the following, if it exists.
a. (fg)(root3)
b. (gf)(1/2)

Algebra  Reiny, Friday, June 12, 2009 at 11:19am
do you mean f(g(x)) ?
f(g(x))
= (g(x))^2  3
= (2x+1)^2  3
then (f(g(√3))
= (2√3 + 1)^2  3
= 12  4√3 + 1  3
= 10  4√3
do the other one the same way
remember this time you want
g(f(x))
= g(x^23)
= 2(x^23) + 1

Algebra  Alicia, Friday, June 12, 2009 at 11:26am
The first one was (fg)(root3). Does this answer your ? Thanks for the help!

Algebra  Alicia, Friday, June 12, 2009 at 11:34am
What happend to the (1/2) in the second problem?
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