Answer:[tex]g(x)=\frac{3}{7}(21(x+5))^{1/2}[/tex]
Step-by-step explanation:
Transformation rule:
Shifting by k units left : [tex]f(x)\to f(x+5)[/tex]
Dilation by a factor of h units: [tex]f(x)\to hf(x)[/tex]
Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left of the graph of [tex]f(x)=(21x)^{1/2}[/tex]
The rule for g described by the transformations of the graph of f. : [tex]g(x)=\frac{3}{7}(21(x+5))^{1/2}[/tex]
