Question

Given the definitions of f(x) and g(x) belos, find the value of f(g(-3)). f(x)=3x^(2)-7x-3 g(x)=-x-4

Answer 1

To find the value of f(g(-3)), we first need to substitute -3 into the function g(x):

g(-3) = -(-3) - 4 = 3 - 4 = -1.

Now, we substitute this value into the function f(x):

f(-1) = 3(-1)^2 - 7(-1) - 3 = 3(1) + 7 - 3 = 3 + 7 - 3 = 7.

Therefore, f(g(-3)) = 7.