If f (x) = 3x - 7 and g (x) = - x2, what is

the value of f (g (2)) ?

What is answer

D

Step-by-step 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

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.