Answer :
Answer:
507
Step-by-step explanation:
The function which represents the altitude of blimp is:
[tex]f(x)=3x^{2}[/tex]
Here, x is the time in minutes
The function representing the time in minutes is:
[tex]g(x)=-2x-5[/tex]
Here, x is the height in thousands of feet of the blimp.
We need to calculate f(g(4)). g(4) gives the time in minutes when the height is 4000 feet. So, f(g(4)) will give the altitude of the blimp when its height is 4000 feet.
Substituting x = 4 in equation of g(x), we get:
[tex]g(4) = -2(4) - 5 = -13[/tex]
So,
[tex]f(g(4))=f(-13)\\\\ =3(-13)^{2}\\\\ =3(169)\\\\ =507[/tex]
Therefore, the value of f(g(4)) is 507