SOLUTION: given: f(x)=x^2+3 and g(x)(sqrt)2-x find f o g (x) a.5-x b. 1-x c. (sqrt) 5-x^3 d. 7+x^2 Thanks

Algebra ->  Algebra  -> Functions -> SOLUTION: given: f(x)=x^2+3 and g(x)(sqrt)2-x find f o g (x) a.5-x b. 1-x c. (sqrt) 5-x^3 d. 7+x^2 Thanks      Log On

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Question 69553: given: f(x)=x^2+3 and g(x)(sqrt)2-x find f o g (x)
a.5-x
b. 1-x
c. (sqrt) 5-x^3
d. 7+x^2
Thanks
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
given: f(x)=x^2+3 and g(x)(sqrt)2-x find f o g (x)
highlight%28a%29.5-x
b. 1-x
c. (sqrt) 5-x^3
d. 7+x^2
Substitute the g function in for x in the f function and simplify.
fog%28x%29=%28sqrt%282-x%29%29%5E2%2B3
fog%28x%29=2-x%2B3
highlight%28fog%28x%29=5-x%29
Happy Calculating!!!!