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Given f (x) = 3x + 5 and g(x) = x2 - x + 7, which of the following is an expression for f (g(x))?
  • a)
    3x2 - 3x + 26
  • b)
    3x2 - 3x + 12
  • c)
    x2 - x + 12
  • d)
    9x2 + 25x + 27
  • e)
    3x2 + 21
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Given f (x) = 3x + 5 and g(x) = x2 - x + 7, which of the following is ...
To solve this problem, substitute the given values into the function as follows:
f (x) = 3x + 5 and g(x) = x2 - x + 7
Therefore, f (g(x)) = f (x2 - x + 7). Substitute x2 - x + 7 for x and solve:
f (g(x)) = 3(x2 - x + 7) + 5
= 3x2 - 3x + 21 + 5
= 3x2 - 3x + 26
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Given f (x) = 3x + 5 and g(x) = x2 - x + 7, which of the following is an expression for f (g(x))?a)3x2 - 3x + 26b)3x2 - 3x + 12c)x2 - x + 12d)9x2 + 25x + 27e)3x2 + 21Correct answer is option 'A'. Can you explain this answer?
Question Description
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