Question

Evaluate the function

h(x) = x² +3x for the given value of x.
Simplify your answer.
h(b + 1) = ?

Answer 1

To evaluate the function h(x) = x² + 3x for the given value of x, substitute the given value in place of x and simplify the expression.

Step-by-step explanation:

To evaluate the function h(x) = x² + 3x for the given value of x, we substitute the given value of x into the function. In this case, the given value is b+1. So, we substitute b+1 in place of x in the function:

h(b+1) = (b+1)² + 3(b+1)

To simplify, we expand and simplify the expression:

h(b+1) = b² + 2b + 1 + 3b + 3

Combining like terms, we get:

h(b+1) = b² + 5b + 4

So, the simplified answer is h(b+1) = b² + 5b + 4.