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18 votes
18 votes
Given f (x) = 3x – 5 and g(x) = 2x + 1, find g(f(x)).

User TheWanderer
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1 Answer

25 votes
25 votes

Answer:

g(f(x)) = 6x -9

Explanation:

Given f(x) = 3x –5 and g(x) = 2x +1, you want to find g(f(x)).

Function evaluation

A function is evaluated by simplifying the result of substituting the argument for the function's variable.

g(f(x)) = 2·f(x) +1 = 2(3x -5) +1 = 6x -10 +1

g(f(x)) = 6x -9

User BigHandsome
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