Given h(x) = -x2+3x, find h(5).

-10, 40, or 5

Step-by-step explanation:

There are three ways of looking at this problem.

1.

h(x) = -x^(2) + 3x

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = -(5)^(2) + 3(5)

      simplify

      = - (25) + (15)

      = -10

2.

h(x) = (-x)^(2) + 3x

Again,

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = (-5)^(2) + 3(5)

       simplify

       =25 + 15

      = 40

3.

h(x) = -2x + 3x

Again,

When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,

using that knowledge, we can say

h(5) = -2(5) + 3(5)

     simplify

     = -10 + 15

     = 5