SOLUTION: for the indicated functions f and g, ﬁnd the functions f + g, f - g, fg, and f|g, and ﬁnd their domains. f(x)= 2x^2; g(x)= x^2 + 1

Question 940091: for the indicated functions f and g, ﬁnd the
functions f + g, f - g, fg, and f|g, and ﬁnd their domains.
f(x)= 2x^2; g(x)= x^2 + 1

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Note: domain of a Polynomial function is ALL real numbers.
Exs: ax + b, ax^2 + bx + c, ax^3 + bx^2 + cx + d , etc
....
f(x)= 2x^2; g(x)= x^2 + 1
f + g, 4x^2+1 (Polynomial), domain is ALL real numbers (− ∞, ∞)
f - g, 1 (Polynomial), domain is ALL real numbers (−∞, ∞)
fg, 4x^2 + 2x^2(Polynomial), domain is ALL real numbers (−∞, ∞)
.....
f/g, (2x^2)/(x^2+1), domain is ALL real numbers (−∞, ∞)
denominator is NEVER zero in this case
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SOLUTION: for the indicated functions f and g, &#64257;nd the functions f + g, f - g, fg, and f|g, and &#64257;nd their domains. f(x)= 2x^2; g(x)= x^2 + 1

SOLUTION: for the indicated functions f and g, ﬁnd the functions f + g, f - g, fg, and f|g, and ﬁnd their domains. f(x)= 2x^2; g(x)= x^2 + 1