Question

Given f(x)=x²+3x² and g(x)=√4−x, find f(g = (−5))

Answer 1

To find f(g(-5)), substitute -5 into the equation g(x)=√4−x to get the value of g(-5), then substitute g(-5) into f(x)=x²+3x² to find f(g(-5)). The result is 36.

Step-by-step explanation:

To find f(g(-5)), we need to substitute -5 into the equation g(x)=√4−x to get the value of g(-5).

g(-5) = √4 - (-5)

g(-5) = √9

g(-5) = 3

Now, we substitute the value of g(-5) into the equation f(x)=x²+3x² to find f(g(-5)).

f(g(-5)) = (g(-5))² + 3(g(-5))²

f(g(-5)) = 3² + 3(3)²

f(g(-5)) = 9 + 27

f(g(-5)) = 36

Therefore, f(g(-5)) = 36.