Answer: The equation of g(x) is given by
[tex]g(x)=8(3^{x^{-2}+1}+2)[/tex]
Step-by-step explanation:
Since we have given that
[tex]f(x)=8(3)^x^{-2} +2[/tex]
According to question, the graph of f(x) is stretched vertically by a factor of 3 to form the graph of g(x).
Equation for vertically stretch by a factor of 'a' is given by
[tex]g(x)=a\times f(x)[/tex]
Since there is vertically stretch by a factor of 3 i.e.
[tex]g(x)=3(8(3^{x^{-2}}))+2\\\\g(x)=8(3^{x^{-2}+1}+2)[/tex]
Hence, the equation of g(x) is given by
[tex]g(x)=8(3^{x^{-2}+1}+2)[/tex]
