To solve the expression [tex]\(3 h(2) + 2 k(3)\)[/tex], we need to follow these steps:
1. Evaluate [tex]\(h(2)\)[/tex] and [tex]\(k(3)\)[/tex].
2. Multiply [tex]\(h(2)\)[/tex] by 3.
3. Multiply [tex]\(k(3)\)[/tex] by 2.
4. Add the two results from steps 2 and 3 together.
Given the values:
[tex]\[ h(2) = 2 \][/tex]
[tex]\[ k(3) = 3 \][/tex]
Let's work through the steps:
1. First, we substitute the results into the expression:
[tex]\[ 3 h(2) = 3 \cdot 2 \][/tex]
[tex]\[ 2 k(3) = 2 \cdot 3 \][/tex]
2. Perform the multiplications:
[tex]\[ 3 \cdot 2 = 6 \][/tex]
[tex]\[ 2 \cdot 3 = 6 \][/tex]
3. Add the results from the multiplications together:
[tex]\[ 6 + 6 = 12 \][/tex]
So, the value of the expression [tex]\(3 h(2) + 2 k(3)\)[/tex] is [tex]\(12\)[/tex].
