Question

Given f(x)=x+4 and g(x)=x^3 , what is (g∘f)(−3)?

Answer 1

To calculate (g∘f)(−3), apply f(-3) yielding 1, and then g(1), which results in 1.

Step-by-step explanation:

To find the value of (g \circ f)(-3), we need to follow two steps since this notation represents the composition of two functions. First, we apply f(x) to -3, then we apply g(x) to the result of f(-3).

Let's apply f to -3:
f(-3) = (-3) + 4 = 1

Now, let's apply g to the result of f(-3), which is 1:
g(1) = (1)^3 = 1

Therefore, the value of (g \circ f)(-3) is 1.