Given data:
The expression for the first function is f(x)= 1/2 (2)^x.
The expression for the second function is g(x)= 5x+2.
The given inequality is,
[tex]\begin{gathered} f(x)\ge g(x) \\ \frac{1}{2}(2)^x\ge5x+2 \\ 2^x\ge10x+4 \end{gathered}[/tex]
The above expression is satisfy when the value of x greater than or equal to 6.
Thus, the minimum of whole number for x is 6.
