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A function 
f satisfies 
f(1)=3 and 
f(3)=7. A function 
g satisfies 
g(3)=9 and 
g(7)=1. What is the value of 
f(g(7)) ?
Choose 1 answer:
(A) 1
(B) 3
(C) 7
(D) 9

A function f f satisfies f(1)=3 f(1)=3 and f(3)=7 f(3)=7 . A function g g satisfies g(3)=9 g(3)=9 and g(7)=1 g(7)=1 . What is the value of f(g(7)) f(g(7)) ?\newlineChoose 11 answer:\newline(A) 11\newline(B) 33\newline(C) 77\newline(D) 99

Full solution

Q. A function f f satisfies f(1)=3 f(1)=3 and f(3)=7 f(3)=7 . A function g g satisfies g(3)=9 g(3)=9 and g(7)=1 g(7)=1 . What is the value of f(g(7)) f(g(7)) ?\newlineChoose 11 answer:\newline(A) 11\newline(B) 33\newline(C) 77\newline(D) 99
  1. Find g(7)g(7): Find the value of g(7)g(7).\newlineGiven that g(7)=1g(7) = 1, we can directly use this information.\newlineValue of g(7)=1g(7) = 1.
  2. Find f(g(7))f(g(7)): Find the value of f(g(7))f(g(7)).\newlineSince we found that g(7)=1g(7) = 1, we need to find f(1)f(1).\newlineGiven that f(1)=3f(1) = 3, we can directly use this information.\newlineValue of f(g(7))=f(1)=3f(g(7)) = f(1) = 3.

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