It seems too easy...or I'm just not thinking at all...please guide me in the right direction...?
Given f(x) = abs(sinx) for -3.14 < x < 3.14 and g(x) = x^2 for all real x.
Let H(x) = g(f(x)). Write an expression for H(x).
Isn't this how you would normally work it out...?
y = g(f(x))
y = g(abs(sinx))
y = (abs(sin(x)))^2 = H(x).
Please help!
2006-10-17 12:40:25 · 3 answers · asked by Moosehead 2 in Science & Mathematics ➔ Mathematics
Yep. Note that there is a restriction on the domain of f(x), so that restriction will carry over into H(x), and you should take note of that. But the expression for the function itself is exactly right. Also, as the previous poster said, the absolute value could be omitted without changing the function.
2006-10-17 12:48:13 · answer #1 · answered by Pascal 7 · 0⤊ 0⤋
that is the solution. To improve it, you could remove the abs since you are squaring it anyway and that will make it positive
2006-10-17 19:44:19 · answer #2 · answered by Greg G 5 · 0⤊ 0⤋
no i do not think so. i think it is
abs(sinx)(x^2)
2006-10-17 20:04:38 · answer #3 · answered by arlo_north 1 · 0⤊ 1⤋