College Algebra
Given the two functions fff and ggg, find f−gf-gf−g and identify the domain.
f(x)=2x+11f\(\left\)(x\(\right\))=\(\sqrt{2x+11}\)f(x)=2x+11, g(x)=x−9g\(\left\)(x\(\right\))=\(\sqrt{x-9}\)g(x)=x−9
f(x)=36−x2f\(\left\)(x\(\right\))=36-x^2f(x)=36−x2, g(x)=x2+11x−7g\(\left\)(x\(\right\))=x^2+11x-7g(x)=x2+11x−7
Given the two functions fff and ggg, find fgfgfg and identify the domain.
f(x)=xf\(\left\)(x\(\right\))=\(\sqrt{x}\)f(x)=x, g(x)=x+17g\(\left\)(x\(\right\))=x+17g(x)=x+17
Given the two functions fff and ggg, find fg\(\frac{f}{g}\)gf and identify the domain.
f(x)=14−3xf\(\left\)(x\(\right\))=14-\(\frac{3}{x}\)f(x)=14−x3, g(x)=3xg\(\left\)(x\(\right\))=\(\frac{3}{x}\)g(x)=x3
f(x)=18xx−6,g(x)=16x+10f\(\left\)(x\(\right\))=\(\frac{18x}{x-6}\),g\(\left\)(x\(\right\))=\(\frac{16}{x+10}\)f(x)=x−618x,g(x)=x+1016
Consider f(x)=3x3+1f\(\left\)(x\(\right\))=3x^3+1f(x)=3x3+1 and g(x)=−7x+6g\(\left\)(x\(\right\))=-7x+6g(x)=−7x+6. Evaluate the following expression: (fg)(−1)(fg)(-1)(fg)(−1)