6) Find $$ (f \circ g)(x) $$ when $$ f(x)=-3 x^{2} $$ and $$ g(x)=7 x+4 $$

Question

UpStudy AI · Accepted Answer

To find (f ∘ g)(x), substitute g(x) into f(x):

f(x) = -3x²  
g(x) = 7x + 4

Thus,

(f ∘ g)(x) = f(g(x)) = -3(7x + 4)²

If desired, you can expand the squared term:

(7x + 4)² = 49x² + 56x + 16

Then,

-3(49x² + 56x + 16) = -147x² - 168x - 48

So, the composition is:

(f ∘ g)(x) = -3(7x + 4)², which can also be written as -147x² - 168x - 48.
(f ∘ g)(x) = -3(7x + 4)² or -147x² - 168x - 48

6) Find \( (f \circ g)(x) \) when \( f(x)=-3 x^{2} \) and \( g(x)=7 x+4 \)