Question

!!PLEASE HELP!!

What is the range of the function?
f(x)=3/x+4 +2
Enter your answer, in interval notation, by filling in the boxes.
Range:

Answer 1

Explanation:

To find the range of the function f(x) = 3/(x + 4) + 2, we need to determine the possible values that f(x) can take.

First, consider that the denominator of the fraction cannot be zero, so x + 4 cannot equal zero. Solving for x, we get x ≠ -4.

Now, observe that as x approaches negative infinity or positive infinity, f(x) approaches 2 because the other terms become negligible compared to the constant 2.

So, in interval notation, the range of the function is (-∞, 2) ∪ (2, ∞), which means it includes all real numbers except for 2.

Hopefully I helped u out! :)