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)= 3x + 5; g(x)= x^2 - 1

Algebra ->  Functions -> 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)= 3x + 5; g(x)= x^2 - 1       Log On


   

Question 940090: for the indicated functions f and g, find the
functions f + g, f - g, fg, and f|g, and find their domains.
f(x)= 3x + 5; g(x)= x^2 - 1
Answer by ewatrrr(24785) About Me  (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)= 3x + 5; g(x)= x^2 - 1
f + g, x^2+3x+4 (Polynomial), domain is ALL real numbers (− ∞, ∞)
f - g, -x^2 + 3x + 6 (Polynomial), domain is ALL real numbers (−∞, ∞)
fg, 3x^2 + 8x^2 -1(Polynomial), domain is ALL real numbers (−∞, ∞)
.....
f/g, (3x+5)/(x^2-1), domain is ALL real numbers EXCEPT x = ± 1 , (−∞, -1) ∪ (−1, 1)∪ (1, ∞)
CANNOT Divide by Zero