Step 1: Substitute \( x = 3 \) into the function
We are given the function \( f(x) = 2x^2 - 3x + 5 \), and we need to evaluate \( f(3) \).
Substitute \( x = 3 \) into the function: \[ f(3) = 2(3)^2 - 3(3) + 5 \]
Step 2: Simplify the expression
\[ f(3) = 2(9) - 9 + 5 = 18 - 9 + 5 = 18 \]
Answer:
Therefore, \( f(3) = 18 \). So, the correct answer is option (2).
If the domain of the function \( f(x) = \dfrac{1}{\sqrt{10 + 3x - x^2}} + \dfrac{1}{\sqrt{x + |x|}} \) is \( (a, b) \), then \((1 + a)^2 + b^2\) is equal to: