Asked by Mallory McGroarty on May 25, 2024
Verified
Find (g∘f) (3) ( g \circ f ) ( 3 ) (g∘f) (3) where f(x) =2x−11f ( x ) = 2 x - 11f(x) =2x−11 and g(x) =x+6g ( x ) = \sqrt { x + 6 }g(x) =x+6 .
A) -16
B) 2
C) 1
D) -15
E) -5
Composition
The process of combining two functions by applying one function to the results of another.
Function
A relation between sets that assigns to each element of a set exactly one element of another set.
- Evaluate specific values of composite functions.
Verified Answer
JL
jaqueline Lozano
May 28, 2024
Final Answer :
C
Explanation :
First, apply fff to 3: f(3)=2(3)−11=6−11=−5f(3) = 2(3) - 11 = 6 - 11 = -5f(3)=2(3)−11=6−11=−5 . Then, apply ggg to this result: g(−5)=−5+6=1=1g(-5) = \sqrt{-5 + 6} = \sqrt{1} = 1g(−5)=−5+6=1=1 .
Learning Objectives
- Evaluate specific values of composite functions.