Question

If f (x) = 2 x 2 + 5 √(x - 2), find f(3). a) 22
b) 25
c) 27
d) 30

Answer 1

The calculated answer for f(3) using the function f(x) = 2x² + 5√(x - 2) is 23, which is not listed in the provided options. There seems to be a mistake either in the question or the given options.

Step-by-step explanation:

The correct answer is option c, which is 27. To find f(3) for the function f(x) = 2x2 + 5√(x - 2), we need to substitute x with 3. Step-by-step, it looks like this:

1. Calculate the term 2x2: 2 * 32 = 2 * 9 = 18.
2. Calculate the term 5√(x - 2): 5√(3 - 2) = 5√1 = 5.
3. Add the two results together to find f(3): 18 + 5 = 23.

Therefore, the value of f(3) is 23, which means there is an error in the provided options, as 23 is not listed among them. If the question had a typo and meant to write 23 instead of 27, then 23 would be the correct answer.