Posted by elizabeth on .
If f (x) = x² + 3 and g (x) = 3x  1 then find the following:
1a. (f+g)(x)
1b. (f+g)(3)
1c. (fg)(x)
1d. (fg)(x)
1e. (fg)(1)

Algebra2 
Steve,
1a. (f+g)(x) = f(x)+g(x) = x^2 + 3 + 3x  1 = x^2 + 3x + 2
1b. (f+g)(3) = 9+3+2 = 14
1c. (fg) = x^2  3x + 4
1d. (fg)(x) = f(x)*g(x) = (x^2+3)(3x1) = 3x^3  x^2 + 9x  3
1e. (fg)(1) = 3  1  9  3 = 16