The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4
A would be fine as your answer.
<h3>
Answer: D) 31</h3>
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Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
We have point

, so first calculate

. There will be:

Now, we can write the equation of the normal line as:

Normal line (and every line) crosses x-axis when y = 0, so coordinates of A:
Answer:
4 V + 4 (V - 60) = D where D is distance apart after 4 hrs
8 V - 240 = 7304
V = 943 km/hr
and V2 = 943 - 60 = 883 km/hr where second plane is 60 km/hr slower