Consider the functions c( ) 3 sin osx xf x += where 0 ≤ x ≤ π and g (x) = 2x where x ∈  .(a) Find ( f  g)(x) .

Consider the function f: R→R defined by f(x)=sin(x)+cos(2x). Which of the following statements about f(x) is true?

Let f = cos2x, g = sin2x. Which of the following lie in the space spanned by f and g?Question 7Select one: 𝑁𝑒𝑖𝑡ℎ𝑒𝑟 𝐴 𝑛𝑜𝑟 𝐵 𝐵𝑜𝑡ℎ 𝐴 𝑎𝑛𝑑 𝐵3 + 𝑥2  𝑆𝑖𝑛𝑥

Let f = cos2x, g = sin2x. Which of the following lie in the space spanned by f and g

Which one of the following functions is increasing on the set (0,10]? Group of answer choices g(x) = 7 - 3x g(x) = x² - 30x g(x) = -1 / x g(x) = sin(x)

4. Determine whether x3 is O(g(x)) for each of these functions g(x).a) g(x) = x2 b) g(x) = x3 c) g(x) = x2 + x3d) g(x) = x2 + x4 e) g(x) = 3x f ) g(x) = x3/2