f(x) = x^2 + 1/x +1 এর অনুরূপ কোনটি?

f(x) = x² + 1/x +1 এর অনুরূপ কোনটি?

f(x) = x^2 + 1/x +1 এর অনুরূপ কোনটি? ?

Created: 9 months ago | Updated: 2 months ago | Created By:

farjana akter akter

f(1) = 1

f(0) = 1

f(-1) = 3

f(1) = 3

0 5

Institution: Bangladesh Public Service Commission (BPSC) Exam: 17th BCS Preliminary Exam 1996
Topic: Algebra Mathematics (বীজগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To evaluate the function \( f(x) = x^2 + \frac{1}{x} + 1 \), we need to find the value of \( f(1) \).

Substituting \( x = 1 \) into the function, we have:
\[
f(1) = 1^2 + \frac{1}{1} + 1
\]
Calculating each term:
- The first term: \( 1^2 = 1 \)
- The second term: \( \frac{1}{1} = 1 \)
- The third term: \( 1 \)

Now, adding these together:
\[
f(1) = 1 + 1 + 1 = 3
\]

Thus, \( f(1) = 3 \), which corresponds to option D.

Now, let's consider the other options to verify why they are incorrect:
- **Option A (f(1) = 1)** is incorrect because we calculated \( f(1) = 3 \).
- **Option B (f(0) = 1)** is undefined since \( f(x) \) involves \( \frac{1}{x} \), which would result in division by zero.
- **Option C (f(-1) = 3)** needs evaluation; however, substituting \( x = -1 \):
\[
f(-1) = (-1)^2 + \frac{1}{-1} + 1 = 1 - 1 + 1 = 1,
\]
which is not equal to 3.

Therefore, the only correct answer is **D: f(1) = 3**.

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f(x) = x^2 + 1/x +1 এর অনুরূপ কোনটি? ?

বাংলাদেশকে স্বাধীন দেশ হিসেবে স্বীকৃতিদানকারী দ্বিতীয় দেশের নাম-

x + y = 0 এবং 2x – y +3 = 0 সরলরেখা দুটি কোন বিন্দুতে ছেঁদ করে?

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