Asked by DELINA FILLI on Apr 27, 2024
Verified
Find (f∘g) (−3) ( f \circ g ) ( - 3 ) (f∘g) (−3) where f(x) =4x+6f ( x ) = 4 x + 6f(x) =4x+6 and g(x) =x2−4g ( x ) = x ^ { 2 } - 4g(x) =x2−4 .
A) 32
B) 38
C) 146
D) 132
E) 26
Composition
In mathematics, the operation of applying one function to the results of another, denoted as \((f \circ g)(x) = f(g(x))\).
Function
A relationship or expression involving one or more variables.
- Assess particular values of composite functions.
Verified Answer
HB
Hayleigh Brook
Apr 28, 2024
Final Answer :
E
Explanation :
First, find g(−3)=(−3)2−4=9−4=5g(-3) = (-3)^2 - 4 = 9 - 4 = 5g(−3)=(−3)2−4=9−4=5 . Then, find f(g(−3))=f(5)=4(5)+6=20+6=26f(g(-3)) = f(5) = 4(5) + 6 = 20 + 6 = 26f(g(−3))=f(5)=4(5)+6=20+6=26 .
Learning Objectives
- Assess particular values of composite functions.