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).
Let A be the set of 30 students of class XII in a school. Let f : A -> N, N is a set of natural numbers such that function f(x) = Roll Number of student x.
Give reasons to support your answer to (i).
Find the domain of the function \( f(x) = \cos^{-1}(x^2 - 4) \).