Question

Let ​f(x)equalsminusxminus1 and ​g(x)equalsx squaredplus 2.
Find ​(fcircle​g)(4​).

Answer 1

To find \( (f \circ g)(4) \), we first need to find \( g(4) \) and then plug the result into \( f(x) \).

Given that \( g(x) = x^2 + 2 \), we find \( g(4) \) by plugging in \( x = 4 \):
\( g(4) = 4^2 + 2 = 16 + 2 = 18 \).

Now we need to find \( f(18) \) by plugging in \( x = 18 \) into \( f(x) = -x - 1 \):
\( f(18) = -18 - 1 = -19 \).

Therefore, \( (f \circ g)(4) = -19 \).