Suppose f(x) =1𝑥x1​ then (𝑓∘𝑓∘𝑓)(𝑥)(f∘f∘f)(x) =A.11𝑥x1​ 1​ B.1𝑥x1​ C.𝑥2x 2 D.1𝑥2x 2 1​ E.xSUBMITarrow_backPREVIOUS

When performing the composition of two functions f(x)𝑓(𝑥) and g(x)𝑔(𝑥), [f∘g](x)[𝑓∘𝑔](𝑥)    and    [g∘f](x)[𝑔∘𝑓](𝑥) will produce the same answer.Question 5Select one:TrueFalse

If h is the function given by ℎ(𝑥)=(𝑓∙𝑔)(𝑥)h(x)=(f∙g)(x) where f(x) =𝑥x​ and g(x) =(𝑥)3( x​ ) 3 , then h(x) =A.𝑥3x 3 B.𝑥x​ C.𝑥34x 43​ restricted to the domain x ≥≥ 0.D.𝑥2x 2 restricted to the domain x ≥≥ 0.E.𝑥2x 2 SUBMITarrow_backPREVIOUS

Which of the following is a parent function?A.𝑓(𝑥)=−2𝑥+1f(x)=−2 x+1 B.𝑓(𝑥)=𝑒3𝑥−2f(x)=e 3x −2C.𝑓(𝑥)=4𝑥f(x)=4 x D.𝑓(𝑥)=4𝑥2f(x)=4x 2 SUBMITarrow_backPREVIOUS

Consider the function𝑓(𝑥)=𝑥2−6,𝑥≤0Find the inverse function of 𝑓.

Suppose that f is a one-to-one function, and f - 1 is its inverse. Suppose also that h(x) = 4 and g(x) = 𝑥2x 2 + xsecx. Then which of the following do we NOT know to be true?A.(𝑓∘𝑔∘𝑓−1)(𝑥)=𝑥2+𝑥sec⁡𝑥(f∘g∘f −1 )(x)=x 2 +xsecxB.(𝑔∘ℎ∘𝑓−1)(𝑥)=16+4sec⁡4(g∘h∘f −1 )(x)=16+4sec4C.(𝑓∘𝑓−1∘ℎ)(𝑥)=4(f∘f −1 ∘h)(x)=4D.(ℎ∘𝑔∘𝑔)(𝑥)=4(h∘g∘g)(x)=4E.(ℎ∙(𝑓−1∘𝑓−1∘𝑓∘𝑓∘𝑔))(𝑥)=4𝑥2+4𝑥sec⁡𝑥(h∙(f −1 ∘f −1 ∘f∘f∘g))(x)=4x 2 +4xsecxSUBMITarrow_backPREVIOUS