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)= 4x; g(x)= x + 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)= 4x; g(x)= x + 1       Log On


   



Question 940092: for the indicated functions f and g, find the
functions f + g, f - g, fg, and f|g, and find their domains.
f(x)= 4x; g(x)= x + 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.
Ex: ax^3 + bx^2 + cx + d 0r ax^2 + b x + c, 0r ax + b etc
....
f(x)= 4x; g(x)= x + 1
f + g, 5x + 1 (Polynomial), domain is ALL real numbers (−∞, ∞)
f - g, 3x+ 1 (Polynomial), domain is ALL real numbers (−∞, ∞)
fg, 4x^2 + 4x (Polynomial), domain is ALL real numbers (−∞, ∞)
.....
f/g, 4x/(x+1), domain is ALL real numbers EXCEPT x = -1 , (−∞, -1)∪ (−1, ∞)
CANNOT Divide by Zero