Question

What interval in which both f(x)and g(x) are positive? Or (-infinity,-2) U(-2,-infinity)

Answer 1

We conclude that both functions f(x) and g(x) are positive on the interval (4, ∞)

In which interval both functions f(x) and g(x) are positive?

On the image we can see two graphs, the blue one is the graph of f(x) and the red one is the graph of g(x).

A function is positive when its graph is above the horizontal line.

For the case of f(x), it is positive on the intervals:

(-∞, -2) and (1, ∞)

And for function g(x), we can see that it is positive on the interval:

(4, ∞)

Now, the interval where both functions are positive is in the intersection between the intervals (in this case is the smaller of the intervals, so it is the correspondent to g(x)), which is (4, ∞)

We conclude that both functions f(x) and g(x) are positive on the interval (4, ∞).

If you want to learn more about intervals:

brainly.com/question/1503051

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