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Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).​
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Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).​

User Pete Baughman
by
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1 Answer

7 votes

Answer:

g(x) =
(1)/(3)(x - 1) = (x)/(3) - (1)/(3)

Explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒ 3[g(x)] + 5 = x + 4

⇒ 3[g(x)] = x + 4 - 5

⇒ 3[g(x)] = x - 1

⇒ g(x) =
(1)/(3)(x - 1) = (x)/(3) - (1)/(3)

User Foolcage
by
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