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STatiana [176]
3 years ago
14

4.) solve for f(g(2))

Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

f(g(2))=10

Step-by-step explanation:

We have the two functions: f(x)=3x-5 and g(x)=2+\frac{6}{x}.

We want to find f(g(2)).

So, let's use the second function to find g(2) first:

g(2)=2+\frac{6}{2}

Divide:

g(2)=2+3

Add:

g(2)=5

Therefore, our expression is the same to f(g(2))=f(5).

Now, we can substitute 5 for f(x). This yields:

f(5)=3(5)-5

Multiply:

f(5)=15-5

Subtract:

f(5)=10

So:

f(g(2))=10

And we're done!

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