Answer:
13
Step-by-step explanation:
Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.
We want to find f(g(4))
Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)
So first lets plug in 4 into x for g(x)
g(x) = 6 + 8/x.
We want to find g(4)
g(4) = 6 + 8/4
First divide 8 by 4
g(4) = 6 + 2
Then add 6 and 2
g(4) = 8
Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)
f(x) = 2x - 3
we want to find f(8)
f(8) = 2(8) - 3
* multiply 2 and 8 *
f(8) = 16 - 3
* subtract 3 from 16 *
f(8) = 13
and we are done!
So we can conclude that f(g(4)) = 13
So triangle PQR is scaled at 4*triangle ABC
So if AB = 16 then PQ = 16*4 which is 64 so the third option
Answer: -1/3
hope this helps
