Find (gof)(-2)
f(x)=Squareroot of 4-x; g(x)=1-3x^2
To find (gof)(-2), we need to evaluate the composition of the functions f and g at x = -2.
First, let's find f(-2):
f(x) = √(4 - x)
So, f(-2) = √(4 - (-2)) = √(4 + 2) = √6
Now, let's find g(f(-2)):
g(x) = 1 - 3x^2
Substituting f(-2) into g(x):
g(f(-2)) = 1 - 3(√6)^2 = 1 - 3(6) = 1 - 18 = -17
Therefore, (gof)(-2) = -17.