Question

H(x)=x^(2)+3x+1 The function h is defined. What is the value of h(3)?

Answer 1

To find h(3) for the function h(x) = x^2 + 3x + 1, substitute 3 for x and calculate: h(3) = 3^2 + 3*3 + 1, which equals 19.

Step-by-step explanation:

The question asks for the value of the function h(x) at x = 3. To find h(3), we substitute 3 into the function equation h(x) = x2 + 3x + 1.

Following these steps to complete the substitution:

1. 
   
3. Replace every x in the equation with 3.
4. 
   
6. Calculate 32 which equals 9.
7. 
   
9. Multiply 3x which becomes 3*3 resulting in 9.
10. 
    
12. Add the results together with the constant term: 9 + 9 + 1 = 19.

Therefore, h(3) = 19.