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If f(x) = 2x + 3 and g(x) = 3x +2  find f(g(f(2)))/g(f(g(2))).  Express your answer in the form a/b.

 Jan 30, 2022
 #1
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numerator = f(g(f(2)))

= f(g(2 * 2 + 3))

= f(g(7))

= f(3 * 7 + 2)

= f(23) = 2 * 23 + 3 = 49

 

denominator = g(f(g(2)))

= g(f(3 * 2 + 2))

= g(f(8))

= g(2 * 8 + 3)

= g(19) = 3 * 19 + 2 = 59

 

The answer is 49/59.

 Jan 30, 2022

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