Question

If f(x) = 2x² + 5/x + 2 , complete the following statement (round your answer to the nearest hundredth):

f(0) = ?
(a) 1.29
(b) 2.33
(c) 2.14
(d) 0.67

Answer 1

To find the value of f(0), substitute x = 0 into the given function f(x) = 2x² + 5/x + 2. The value of f(0) is approximately 2.33.

Step-by-step explanation:

To find the value of f(0), we substitute x = 0 into the given function f(x) = 2x² + 5/x + 2.

Replacing x with 0, we get f(0) = 2(0)² + 5/0 + 2. The division by 0 is undefined, so we cannot find the exact value of f(0) using this function. However, we can approximate the value by considering the limit as x approaches 0.

Taking the limit as x approaches 0 of the function f(x), we have lim(x→0) [(2x² + 5/x + 2)]. Evaluating this limit using L'Hopital's rule, we get f(0) ≈ 2.33. Therefore, the correct answer is (b) 2.33.