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5 votes
What is the value of f(g(x)) when f(x)=x²-3x+3 and g(x)=x-1/4, for x=5?

A: -3
B: 1
C: 7
D: 13

User Ayeesha
by
8.3k points

1 Answer

3 votes

Final answer:

After calculating g(5) as 4.75, we find f(g(5)) to be 11.3125, which does not match any of the provided options, suggesting possibly incorrect options or a calculation mistake.

Step-by-step explanation:

To find the value of f(g(x)) when f(x) = x² - 3x + 3 and g(x) = x - 1/4, and with x = 5, we first evaluate g(5) and then use that value to find f(g(5)).

First, we find g(5):
g(5) = 5 - 1/4
= 4.75

Next, we compute f(g(5)) which is f(4.75):

f(4.75) = (4.75)² - 3(4.75) + 3
= 22.5625 - 14.25 + 3
= 11.3125

None of the options (A) -3, (B) 1, (C) 7, (D) 13 match the result, therefore there may be an error with the provided options or a mistake was made in the calculation.

User Haotang
by
9.2k points

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