A function g(x) is defined as shown. g(x) = what is the value of g(4)? 10, 12, 14, 16
\begin{matrix}
 2+3x,& & 0\leq x< 4\\ 
 0.5x + 10,&  & 4\leq x< 8\\ 
 16&  & x\geq 16
\end{matrix}

Solution:

From the function given

A piecewise function has different expressions for different variables

In the question we observe that g(4) is not defined in the first and third expression

So substituting x = 4 in the second equation

g(x) = 0.5x + 10

g(4) = 0.5(4) + 10

g(4) = 2 + 10

g(4) = 12

Therefore, the value of g(4) is 12.

A function g(x) is defined as shown. g(x) = what is the value of g(4)?

Summary:

A function g(x) is defined as shown. The value of g(4) is 12.