Asked by Briana Bradley on Apr 30, 2024

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Find (g∘f) (3) ( g \circ f ) ( 3 ) (gf) (3) where f(x) =5x+2f ( x ) = 5 x + 2f(x) =5x+2 and g(x) =x−5g ( x ) = x - 5g(x) =x5 .

A) 12
B) 15
C) -28
D) -8
E) -34

Composition

In mathematics, the composition of functions refers to the application of one function to the results of another.

Function

A relation or correspondence between two sets in which each element of the first set is paired with exactly one element of the second set, typically described by f(x).

  • Understand and apply the concept of function composition to find \((g \circ f)(x)\) and \((f \circ g)(x)\).
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DH
Debbi HinderliterMay 03, 2024
Final Answer :
A
Explanation :
First, find f(3)=5(3)+2=15+2=17f(3) = 5(3) + 2 = 15 + 2 = 17f(3)=5(3)+2=15+2=17 . Then, apply ggg to this result: g(17)=17−5=12g(17) = 17 - 5 = 12g(17)=175=12 .