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Answer :
To find the value of [tex]\( f(2) \)[/tex] for the function [tex]\( f(x) = x^2 + x + 71 \)[/tex], follow these steps:
1. Substitute the value of [tex]\( x \)[/tex] with 2 in the function.
The function is given by [tex]\( f(x) = x^2 + x + 71 \)[/tex]. We need to find [tex]\( f(2) \)[/tex].
2. Calculate each term.
Start with [tex]\( x^2 \)[/tex]:
[tex]\[
2^2 = 4
\][/tex]
Next, calculate [tex]\( x \)[/tex]:
[tex]\[
2 = 2
\][/tex]
Finally, note the constant term which is 71.
3. Add all the terms together.
Combine the results from the calculations:
[tex]\[
f(2) = 4 + 2 + 71
\][/tex]
4. Perform the addition.
Add the numbers:
[tex]\[
4 + 2 = 6 \quad \text{and then add 71} \quad 6 + 71 = 77
\][/tex]
Therefore, the value of [tex]\( f(2) \)[/tex] is [tex]\( 77 \)[/tex].
1. Substitute the value of [tex]\( x \)[/tex] with 2 in the function.
The function is given by [tex]\( f(x) = x^2 + x + 71 \)[/tex]. We need to find [tex]\( f(2) \)[/tex].
2. Calculate each term.
Start with [tex]\( x^2 \)[/tex]:
[tex]\[
2^2 = 4
\][/tex]
Next, calculate [tex]\( x \)[/tex]:
[tex]\[
2 = 2
\][/tex]
Finally, note the constant term which is 71.
3. Add all the terms together.
Combine the results from the calculations:
[tex]\[
f(2) = 4 + 2 + 71
\][/tex]
4. Perform the addition.
Add the numbers:
[tex]\[
4 + 2 = 6 \quad \text{and then add 71} \quad 6 + 71 = 77
\][/tex]
Therefore, the value of [tex]\( f(2) \)[/tex] is [tex]\( 77 \)[/tex].
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