Operations on Functions

[Math Tutor]

For the functions [tex]f(x) = 3x^2 - 2[/tex] and [tex]g(x) = 2x + 5[/tex], find and simplify:

(a) [tex]f + g[/tex]
(b) [tex]f \cdot g[/tex]
(c) [tex]f(x+h) - f(x)[/tex]
(d) Find all values of [tex]x[/tex] for which [tex](f \circ g)(x) = (g \circ f)(x)[/tex].