Given the definitions of f(x) and g(x) below, find the value of (f og)(6). f(x) = 3x? – 5æ + 7 - g(x) = 2x – 14 |

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Given the definitions of f(a) and g(x) below, find the value of (f o g)(6).
f(x) = 3x2 – 5x +7
g(x) = 2x- 14
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Transcribed Image Text:- Website Stude x cn Student Portal x O Canvas Studer x Rapididentity G Class Score De X a deltamath.com/app/student/solve/15340626/compositionOfFunctions s Q Depression Flashca. Record: 0/5 Score: o Penalty: 1 off Complet Albertine Kellemu Composition of Functions Feb 07, 10:19:43 AM Given the definitions of f(a) and g(x) below, find the value of (f o g)(6). f(x) = 3x2 – 5x +7 g(x) = 2x- 14 Answer: Submit Answer attempt 1 out of 3 Privacy Policy Terms of Service Copyright 2022 DeltaMath.com. All Rights Reserved. NC hp
Expert Solution
Step 1

Given , f(x) = 3x2-5x+7

            g(x) =2x-14

We need to calculate the value of fog(6)

Generally fog(x) = f(g(x))

Now calculating f(g(x))

Substituting g(x) in place of x

f(x) = 3(2x-14)2-5(2x-14)+7

f(g(x)) = 3(4x2+196-56x)-5(2x-14)+7

f(g(x)) = (12x2+588-168x)-(10x-70)+7

f(g(x)) = 12x2+665-178x

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