## Let f(x) = 3x - 6 and g(x) = x - 2. Find f(g(5)) ( ie.(f∘g)(5)) and its domain: 1; all real numbers 3; all real numbers except x =

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## Answers ( 2 )

f(x)=3x-6

g(x)=x-2

(f o g)(5)=?

(f o g)(x)=f(g(x))=f(x-2)=3(x-2)-6=3x-6-6u2192(f o g)(x)=3x-12

Domain of (f o g)(x)= All real numbers

(f o g)(5)=3(5)-12=15-12u2192(f o g)(5)=3

Answers:

f(g(5))=3

Domain:All real numbers

(B) 3; all real numbers except x=2