Algebra Composite Functions

In files

The profit, P, given in hundreds of dollars, of a company is given by
P= f() = -0.52″ + 4×2 – 4x + 2 where x is the number of units they sell. They
find that their demand function giving the number of units sold at a price p is given
by 2 = g(P) = 48 – 12p where p is measured in thousands of dollars.
(a) f(g(3.45)) =
Preview
Enter your answer as a decimal rounded off to 2 decimal places.
(6) Which of the following gives the best interpretation of f(g(3.45)).
The Profit the company earns, in hundreds of dollars, when they sell 3.45 units
The Profit the company earns, in hundreds of dollars, when they sell 345 units
The Profit the company earns, in hundreds of dollars, when they charge $3450
per unit
The Profit the company earns, in hundreds of dollars, when they charge $3.45
per unit
The Profit the company earns, in hundreds of dollars, when they sell 3450 units
(c) To make a profit of $19,400 they should set the price at $
Round your answer off to the nearest whole number.
where not met in 200 iterations
Consider the composite function w(x) = V2? + 9, identify 3 functions such that
w(x) = f(g(h(z))) and f(c) + 2, 9(x) = x, and h(2) + .
(Hint: There may be more then one correct answer)
f(x) = 2 +9, 9(x) = 22, h(2) = V2
f(x) = VT, 9(x) = 22, h(x) = x +9
f(0) = 22, 9(2) = 2 +9, h(c) = v
f(x) = V2+1, g(x) = 2 + 8, h(x) = x2
Df(z) = VỀ, g(x) = z +9, h(z) = 2?
f(x) = 2 +9, g(x) = 22, h(x) = 1
f(x) = v* – 5,9() = + 17, h(x) = 22 – 3
f(x) = V22, 9(2) = x + 8, h(x) = x + 1