Given the functions f, of, x, equals, 5, x, cubedf(x)=5x 3 and g, of, x, equals, 12, dot, 3, to the power xg(x)=12⋅3 x , which of the following statements is true?

Given the functions f, of, x, equals, 3, x, squaredf(x)=3x 2 and g, of, x, equals, 2, dot, 4, to the power xg(x)=2⋅4 x , which of the following statements is true?AnswerAttempt 1 out of 2The number of attempts on this specific problem before you are marked incorrectMultiple Choice Answersf, of, 3, equals, g, of, 3f(3)=g(3)f, of, 3, is greater than, g, of, 3f(3)>g(3)f, of, 3, is less than, g, of, 3f(3)<g(3)

Which of the following equations is a function?a.)b.)c.)d.)

Consider the functions f , g : R → R defined as f (x) = 3px + 1 and g(x) = x3. Find theformulas for g ◦ f and f ◦ g

Let F and G be functions from the set of all real numbers to itself. Define new functions F2G : R S R and G2F : R S R as follows: For every x [ R, (F2G)(x) 5 F(x)2G(x) (G2F )(x) 5 G(x)2F(x). Does F2G 5 G2F? Explain.

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.