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Let f(x) = 3x + 5 and g(x) = x - 4.

Find f o g and its domain

Answer choices

3x + 1; all real numbers

3x + 1; all real numbers except x = 4

3x - 7 ; all real numbers

3x - 17; all real numbers except x = 4

Verified Answer :

JcAlmighty

The answer is 3x - 7 ; all real numbers

f(x) = 3x + 5
g(x) = x - 4

(f o g)(x) = f(g(x)) =
              = f(x - 4) =
              = 3(x - 4) + 5 = 
              = 3x - 12 + 5 =
              = 3x - 7

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