Use the given pair of functions f(x) = 3 − x , g(x) 2 = √x + 1 to find and simplify the expression (g ◦ f)(x) and state the domain of each using interval notation.
2) Use the given pair of functions f(x) = 3 − x , g(x)
2 = √x + 1
to find and simplify the expression (g ◦ f)(x) and state the
domain of each using interval notation.
3) Show that the given function is one-to-one and find its
inverse. Check your answers algebraically and graphically.
f(x) = .x/1 − 3x
4) The price of a media player is given as a function of the
weekly sales x according to the formula p(x) = 550 − 30x for
0 ≤ x ≤ 40.
a. Find p (x) and state its domain.
−1
b. Find and interpret p (125) .
−1
c. Find x if p (x)
−1 = 0
6) Find all real solutions for 2x − 1 = √x + 3 .
7) Solve the inequality 12 − √x − 3 ≤ 15 .
DETAILED ASSIGNMENT
