find (f of g)(-1) which equals to 3
explain how that is so
give step by step process
To find (f ◦ g)(-1), we first need to determine the function f(g(-1)).
Given information:
g(x) = x^2 - 3
f(x) = 2x + 1
Step by step process:
1. Find g(-1) by substituting -1 into the function g(x):
g(-1) = (-1)^2 - 3
g(-1) = 1 - 3
g(-1) = -2
2. Now that we have g(-1) = -2, we can find (f ◦ g)(-1) by plugging -2 into the function f(x):
f(-2) = 2(-2) + 1
f(-2) = -4 + 1
f(-2) = -3
Therefore, (f ◦ g)(-1) = -3.