Question

Given the function k (x)= { x^2-5, x <3 x+ 1, x > 3

Answer 1

The function for this problem is defined in intervals. We need to find h(7), to do that the first step is to determine which of the two expressions we are going to use. When we write h(7), it means that x = 7. The condition for the first equation is that x must be less than 3, therefore we need to use the second equation. We have:

`\begin{gathered} h(x)=x+1 \\ h(7)=7+1=8 \end{gathered}`

We can determine that h(7) =8.