Question

The function f(x) = 3x − 2 represents the altitude of a hot air balloon, where x is the time in minutes. The function g(x) = x2 − 1 represents the time in minutes, where x is the height in thousands of feet of the hot air balloon. What is the value of f[g(5)]?

Answer 1

70

Explanation:

First you have to find g(x). Plug in 5 for g(x) then you get: (5^2)- 1 = 25-1 = 24.

Then you plug in 24 for x in f(x):

3(24)-2

72-2

=70

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Answer 2

70

Explanation:

If g(x) =x^2 -1, then

f[g(5)] = 3*(5^2-1) -2 =72-2= 70