Consider the functions f(x) = 3x² and g(x) = -2x - 5. What is the value of f[g(-4)]?

Solution:

It is given that,

Function f(x) = 3x²

g(x) = -2x - 5

We have to find the value of f[g(-4)]

First let us find g(-4)

Substituting value of x as -4 in the function g(x).

g(-4) = -2 (-4) - 5

g(-4) = 8 - 5

g(-4) = 3

We know that

f[g(-4)] = 3 (3)²

f[g(-4)] = 3(9)

f[g(-4)] = 27

Therefore, the value of f[g(-4)] is 27.

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Consider the functions f(x) = 3x² and g(x) = -2x - 5. What is the value of f[g(-4)]?

Summary:

Consider the functions f(x) = 3x² and g(x) = -2x - 5. The value of f[g(-4)] is 27.