plz help im confused

Question

Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. In your final answer, include the table of function values.
f(x) = 2x
h(x) = x3 + x + 8

Answer 1

Let G(x) = f(x) - h(x)

 

 If G(x) > 0 then

    f(x) - h(x) > 0

    or f(x)>h(x)

 

 

 

G(x)  = 2^x - ( x^3 + x + 8)

 

       = 2^x - x^3 - x - 8

 

 

Per desmos.com G(x)>0 when x< -1.808 OR x>9.987