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WARRIOR [948]
3 years ago
11

I'm super confused on parts g and h because no formula is given, just the limit values. These are the values:

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

1)

So we have the limit:

\lim_{x\to 4} (f\circ g)(x)

This is equivalent to:

\lim_{x\to 4} f(g(x))

To solve, we can use the following property:

\lim_{x \to c} f(g(x))=f(  \lim_{x \to c} g(x))

Therefore, our limit is the same as:

\lim_{x\to 4} f(g(x))\\=f(\lim_{x\to 4} g(x))

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

=f(-2)

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.

Similarly, for the second one:

2)

We have:

\lim_{x\to 4} (g\circ f)(x)\\=\lim_{x\to 4}g(f(x))

Using the same property:

=g(\lim_{x\to 4} f(x))

And we are told that this is 16, so:

=g(16)

And we just need to evaluate this to find the limit.

I hope you find this helpful!

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