let f(x)=5x-1and g(x)=x^2-4

Question

Find (f∘g)(2)=

Simplify

Answer 1

To find (f∘g)(2), we need to find the composition of functions f and g at x=2.

First, we find g(2):
g(x) = x^2 - 4
g(2) = 2^2 - 4
g(2) = 4 - 4
g(2) = 0

Now we can find f(g(2)):
f(x) = 5x - 1
f(g(2)) = 5(0) - 1
f(g(2)) = -1

Therefore, (f∘g)(2) = -1.