SOLUTION: Please help me solve this: f(x)=x^2+1 , g(x)=x^2-3 a. (f.g)(x) b. (g.f)(x) c. (f.g)(2)

Algebra.Com
Question 928773: Please help me solve this: f(x)=x^2+1 , g(x)=x^2-3
a. (f.g)(x)
b. (g.f)(x)
c. (f.g)(2)

Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
If your period mark means multiplication, then a and b are the same. Multiply the two binomials and simplify. c is just evaluation of the function at x=2.





Let x=2.

RELATED QUESTIONS

Please help me solve theses problems: Let f(x)= x^2+2 and g(x)=x+1 a)f(2)= b)g(x)=7 (answered by Alan3354,MathLover1)
3. If f(x)=square root 2x^2-1 and g(x)=x^1/2, find (and simplify) a) (f+g)(x) b)... (answered by CPhill)
Given the functions f(x)=1/x+6 ; g(x)=x/2-x a.(f ∘ g)(-2) b.(g ∘ f)(-2) (answered by stanbon)
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: What is g(x) = f^-1(x) if f(x) = 1/2 x? (answered by jim_thompson5910)
Please help me with this question. Thank you! a) Given the functions f(x) = x + 2 and... (answered by solver91311,MathLover1)
If f(x)= square root 2x^2-1 and g(x)=x^1/2, find and simplify a) (f+g)(x) b) (f-g)(x) (answered by Alan3354)
Let f(x)=x^2+3x-5,g(x)=x-3, find a. (f+g)(x) b. (f-g)(x) c. (fg)(x) d. (f/g)(x)... (answered by funmath)
Given f(x)=x/x-1. g(x)=2x-4/x a) (f•g)(0) b) (g•f)(-2) c)... (answered by Alan3354)
Given f(x)=x/(x-1) , g(x)=(2x-4)/x find the following a) (f•g)(0) b) (g•f)(-2)... (answered by stanbon)
if f(x)=x^2+6 and g(x)=2x,find a. (f+g)(x) b. (f-g)(x) c. (f x g)(x) d.... (answered by t0hierry)