f(x)=x2−6
g(x)=−x3
What is (f∘g)(−2)
?
(1 point)
Responses
(f∘g)(−2)=8
open paren f circ g close paren times negative 2 is equal to 8
(f∘g)(−2)=−27,000
open paren f circ g close paren times negative 2 is equal to negative 27 comma 000
(f∘g)(−2)=58
open paren f circ g close paren times negative 2 is equal to 58
(f∘g)(−1)=38
1 answer
To find \((f \circ g)(-2)\), we first need to evaluate \(g(-2)\) and then substitute that result into the function \(f\).
Evaluate \(g(-2)\): \[ g(x) = -x^3 \] \[ g(-2) = -(-2)^3 = -(-8) = 8 \]
Now evaluate \(f(g(-2)) = f(8)\): \[ f(x) = x^2 - 6 \] \[ f(8) = 8^2 - 6 = 64 - 6 = 58 \]
Therefore, \((f \circ g)(-2) = 58\).
The correct response is: \[ (f \circ g)(-2) = 58 \]
1 answer
1 answer
1 answer
1 answer