To solve this problem, we must substitute in 1 for the variable x in the equation. This is because the function as written is f(x), meaning that the function is evaluated as x currently, but we want to evaluate it at 1. To do this, all we have to do is replace each variable x with a 1 and simplify.
f(x) = x^2 + 2x + 3
f(1) = (1)^2 + 2(1) + 3
To simplify, we first to compute the exponents. This is because of the order of operations, which says that we should solve parentheses first, exponents next, then multiplication/division, then addition/subtraction last.
f(1) = 1 + 2(1) + 3
Next, as outlined above, we should perform the multiplication.
f(1) = 1 + 2 + 3
Finally, we can finish solving by adding together the remaining terms.
f(1) = 6
Therefore, your answer is 6.
Hope this helps!
