Question

Given the two functions f(x) and g(x). what is the smallest whole number value of x such that f (x) >9(x) f(x) = 1/2 (2) 9 (x) = 5x + 2

Answer 1

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,

`\begin{gathered} f(x)\ge g(x) \\ (1)/(2)(2)^x\ge5x+2 \\ 2^x\ge10x+4 \end{gathered}`

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.