Question

True or False. If f is continuous at 5 and f(5)=2 and f(4)=3,
the the lim x-> 2 f(4x^2-11) = 2

the answer is true, but i do not understand why..because when i plug the numbers in im not getting what it has stated. Please explain thanks:)

Answer 1

When x = 2, 4x^2-11 = 5
You have been told that f(x) is continuous at x = 5, and that the value of f(5) = 2.

Therefore the answer is true.

The question is a bit confusing because you have to think of 4x^2-11 as the argument of the f(x) function.

Answer 2

Thanks that makes much more sense:)