Use abs(x) for $\displaystyle {\left|{x}\right|}$.


Given that $\displaystyle {f{{\left({x}\right)}}}={\left|{x}\right|}$ and $\displaystyle {g{{\left({x}\right)}}}={7}{x}+{6}$, calculate

(a) $\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}$= Preview Question 6 Part 1 of 4  

(b) $\displaystyle {g{{\left({f{{\left({x}\right)}}}\right)}}}$= Preview Question 6 Part 2 of 4  

(c) $\displaystyle {f{{\left({f{{\left({x}\right)}}}\right)}}}$= Preview Question 6 Part 3 of 4  

(d) $\displaystyle {g{{\left({g{{\left({x}\right)}}}\right)}}}$= Preview Question 6 Part 4 of 4