Math / AlgebraQuestionFind f∘gf \circ gf∘g, g∘fg \circ fg∘f, and g∘gg \circ gg∘g for f(x)=x2f(x)=x^{2}f(x)=x2 and g(x)=x−1g(x)=x-1g(x)=x−1.Studdy Solutionimplify the expression.(g∘g)(x)=x−2(g \circ g)(x) = x -2(g∘g)(x)=x−2So, the compositions are(a) (f∘g)(x)=x2−2x+(f \circ g)(x) = x^{2} -2x +(f∘g)(x)=x2−2x+ (b) (g∘f)(x)=x2−(g \circ f)(x) = x^{2} -(g∘f)(x)=x2− (c) (g∘g)(x)=x−2(g \circ g)(x) = x -2(g∘g)(x)=x−2 View Full Solution - FreeWas this helpful?