Textbook QuestionGiven functions f and g, find (a)(ƒ∘g)(x) and its domain, and (b)(g∘ƒ)(x) and its domain. ƒ(x)=√(x-2), g(x)=2x63views
Textbook QuestionThe graphs of two functions ƒ and g are shown in the figures.Find (g∘ƒ)(3).1188views
Multiple ChoiceGiven the functions f(x)=x+4f\(\left\)(x\(\right\))=\(\sqrt{x+4}\)f(x)=x+4 and g(x)=(x−2)2−4g\(\left\)(x\(\right\))=\(\left\)(x-2\(\right\))^2-4g(x)=(x−2)2−4 find (f∘g)(x)\(\left\)(f\(\circ\) g\(\right\))\(\left\)(x\(\right\))(f∘g)(x) and (g∘f)(x)\(\left\)(g\(\circ\) f\(\right\))\(\left\)(x\(\right\))(g∘f)(x)892views7rank2comments
Multiple ChoiceGiven the functions f(x)=1x2−2f(x)=\(\frac{1}{x^2-2}\)f(x)=x2−21 and g(x)=x+2g(x)=\(\sqrt{x+2}\)g(x)=x+2 find (f∘g)(x)(f∘g)(x)(f∘g)(x) and (g∘f)(x)(g\(\circ\) f)(x)(g∘f)(x).816views
Multiple ChoiceGiven the functions f(x)=x2f(x) = x^2f(x)=x2 and g(x)=x−8g(x)=\(\sqrt{x-8}\)g(x)=x−8 find (f∘g)(x)(f∘g)(x)(f∘g)(x) and determine its domain.851views1rank
Textbook QuestionWithout using paper and pencil, evaluate each expression given the following functions. ƒ(x)=x+1ƒ(x)=x+1 and g(x)=x2g(x)=x^2 (ƒg)(2)868views