Answer:
g(f(-3)) = 6.
Explanation:
To obtain the value of f(-3), we must first determine g(f(-3)), which requires changing x in the expression for f(x) to -3:
f(x) = 2x^2 + 9x - 1
f(-3) = 2(-3)^2 + 9(-3) (-3) - 1\s= 2(9) (9) - 27 - 1\s= 18 - 27 - 1\s= -10
Knowing that f(-3) = -10 allows us to replace it in the expression for g(x):
g(x) = -x - 4
g(f(-3)) = g(-10) (-10)
Now, if we replace x in g(x) with -10, we obtain:
g(f(-3)) = g(-10) = -(-10) (-10) - 4 = 10 - 4 = 6
Hence, g(f(-3)) = 6.