Question

Consider the functions f(x) = 3x2 and g(x) = −2x − 5. What is the value of f[g(−4)]? 1. 9

2. −31
3. 27
4. 3

Answer 1

The answer is 3. 27, because g(-4) is 3 and f(3) is 27.

Answer 2

The value of function f[g(−4)] is 27 .

Explanation:

As two function given in the question

f(x) = 3x²

g(x) = −2x − 5

f[g(-4)] = f [-2 × -4 -5]

= f [8 -5]

= f [3]

= 3 × 3²

( As 3² = 9 )

= 3 × 9

= 27

Therefore the value of function f[g(−4)] is 27 .