Answer :
To evaluate the function [tex]\( f(x) = 2x + 6 \)[/tex] at [tex]\( x = 3 \)[/tex], follow these steps:
1. Substitute 3 for x:
Replace the variable [tex]\( x \)[/tex] in the expression with the value 3. So, the function becomes [tex]\( f(3) = 2(3) + 6 \)[/tex].
2. Multiply:
Calculate [tex]\( 2 \times 3 = 6 \)[/tex].
3. Add:
Add 6 to the result from step 2: [tex]\( 6 + 6 = 12 \)[/tex].
So, the value of the function [tex]\( f \)[/tex] when [tex]\( x = 3 \)[/tex] is 12. Therefore, [tex]\( f(3) = 12 \)[/tex].
1. Substitute 3 for x:
Replace the variable [tex]\( x \)[/tex] in the expression with the value 3. So, the function becomes [tex]\( f(3) = 2(3) + 6 \)[/tex].
2. Multiply:
Calculate [tex]\( 2 \times 3 = 6 \)[/tex].
3. Add:
Add 6 to the result from step 2: [tex]\( 6 + 6 = 12 \)[/tex].
So, the value of the function [tex]\( f \)[/tex] when [tex]\( x = 3 \)[/tex] is 12. Therefore, [tex]\( f(3) = 12 \)[/tex].
