Sure! Let's solve the problem step-by-step:
We are given the function [tex]\( w(x) = 9x + 8 \)[/tex] and need to evaluate [tex]\( w(5) \)[/tex]. Here's how we'll do it:
1. Identify the function and input value:
- The function is [tex]\( w(x) = 9x + 8 \)[/tex].
- We need to find the value of this function when [tex]\( x = 5 \)[/tex].
2. Substitute the input value into the function:
- We replace every instance of [tex]\( x \)[/tex] in the function with 5.
- So, [tex]\( w(5) = 9(5) + 8 \)[/tex].
3. Perform the multiplication:
- Multiply 9 by 5 to get [tex]\( 9 \times 5 = 45 \)[/tex].
4. Add the constant term:
- Add 8 to the product from the previous step: [tex]\( 45 + 8 = 53 \)[/tex].
5. Write the final result:
- The value of [tex]\( w(5) \)[/tex] is 53.
Therefore, [tex]\( w(5) = 53 \)[/tex].
