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

Question

Answer choices: 1) 9 2) -31 3) 27 4)3

Answer 1

Given functions f(x) = 3x^2

g(x) = -2x-5

f(g(x)) = f(-2x-5)

= 3(-2x-5)^2

Now f(g(-4) = 3(-2(-4)-5)^2

= 3(8-5)^2

= 3(3)^2

= 3*9

= 27

Option 3 is correct answer.