Answer to Question #297047 in Calculus for Tokyo

Question

<e> Given the function f(x)=x^1/3 + x sqrt x - 1, find formulas to

(a) compress the graph horizontally by a factor of 2 followed by a reflection across the y-axis.

(b) Stress the graph vertically by a factor of 1.5 followed by a reflection across the y-axis.

Write a Mathematica code to display the functions in (a) and (b). Your Mathematica code should produce the graph as displayed in Fig. I(a) and I (b), where the blue, red and brown curves refer to the function f(x),g1(x),g2(x) respectively. g2(x) is the final function while g1(x) is the intermediate function.