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

Consider the function f: R→R defined by f(x)=sin(x)+cos(2x). Which of the following statements about f(x) is true? a. The function f(x) is one-to-one (injective). b. The function f(x) is onto (surjective). c. The function f(x) is both one-to-one and onto. d. The function f(x) is neither one-to-one nor onto.

Which of the statement is true regarding function?

Consider the following functions:𝑓(𝑥)=cos⁡(𝑥3−𝑥)ℎ(𝑥)=∣𝑥−3∣3𝑔(𝑥)=ln⁡(∣𝑥∣+3)𝑠(𝑥)=sin⁡3(𝑥)​ f(x)=cos(x 3 −x)h(x)=∣x−3∣ 3 g(x)=ln(∣x∣+3)s(x)=sin 3 (x)​ Which of the following is true?A. f is even, h and s are odd.B.h and s are odd, g is even.C. f and g are even, s is odd.D.g and f are even, h is odd.E.s is odd, f and h are even.

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

b) f(x) = 3𝑥2;     𝑑𝑓𝑑𝑥(1)= therefore the function is