Given g(x)=3x𝑔(𝑥)=3𝑥 and h(x)=x4ℎ(𝑥)=𝑥4 , find (gh)(x)

If 𝑓(𝑥)=2𝑥+3f(x)=2x+3, 𝑔(𝑥)=𝑥2−5g(x)=x 2 −5, and ℎ(𝑥)=𝑥2h(x)= 2x​ , find the value of h(g(f(4))).a116b58c11d4

If 𝑓⁡(𝑥) = 𝑥12 − 𝑥 and 𝑔⁡(𝑥) = 2⁢𝑥3 − 𝑥12 − 𝑥, find f(x) − g(x).

Suppose 𝐹(𝑥)=𝑥2𝑥2−7F(x)= x 2 −7x 2 ​ , and 𝐹(𝑥)=(ℎ∘𝑔)(𝑥)F(x)=(h∘g)(x). Which of the following are possible definitions for h and g?I. ℎ(𝑥)=𝑥,𝑔(𝑥)=𝑥2𝑥2−7II. ℎ(𝑥)=𝑥2,𝑔(𝑥)=𝑥𝑥−7III. ℎ(𝑥)=𝑥4𝑥4−7,𝑔(𝑥)=∣𝑥∣IV. ℎ(𝑥)=𝑥𝑥−7,𝑔(𝑥)=𝑥2​ I. h(x)=x,g(x)= x 2 −7x 2 ​ II. h(x)=x 2 ,g(x)= x−7x​ III. h(x)= x 4 −7x 4 ​ ,g(x)= ∣x∣​ IV. h(x)= x−7x​ ,g(x)=x 2 ​ A.II and III onlyB.I and II onlyC.I and IV onlyD.I, III and IV onlyE.I, II, III and IV

Find h, of, minus, 3h(−3).12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10xyh(x)g, of, x, equals, minus, 3, x, squared, minus, 2, x, minus, 1g(x)=−3x 2 −2x−1xx f, of, xf(x)55 minus, 9−988 3311 minus, 8−833 minus, 5−5minus, 1−1 77

If f(x)=8x−5𝑓(𝑥)=8𝑥−5and g(x)=9x2−7x+6𝑔(𝑥)=9𝑥2−7𝑥+6, what is (g−f)(x)(𝑔−𝑓)(𝑥)?