Question

If f(x) = 3x – 7 and g(x) = -x2, what is
the value of f(g(2))?
What is answer

Answer 1

D

Explanation:

f(x) = 3x – 7 and g(x) = -x^2,

: f(-x^2) = 3x - 7

f(-x^2) = 3(-x^2) - 7

= -3x^2 - 7

the value of f(g(2)) = -3(2^2) - 7

= -3(4) - 7

= -12 - 7

= -19

Answer 2

You would have to plug in g(x) into every x in f(x):
f(g(x)) = 3(-x^2) - 7

Then you can plug in 2 for x since it’s asking for f(g(2)):
f(g(2)) = 3(2^2) - 7

Now you just have to solve:
f(g(2)) = 3(4) - 7
f(g(2)) = 12 - 7
f(g(2)) = 5

So the answer is 5.