Question:
If $f(x) = x^2 + 2x + 1$, what is $f(3)$?
If $f(x) = x^2 + 2x + 1$, what is $f(3)$?
Show Hint
Simplify functions by factoring if possible to make computations easier.
Updated On: Jul 29, 2025
- 10
- 12
- 14
- 16
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
- Step 1: Given $f(x) = x^2 + 2x + 1$.
- Step 2: Compute $f(3) = 3^2 + 2 \times 3 + 1 = 9 + 6 + 1 = 16$.
- Step 3: Verify: $f(x) = (x + 1)^2$, so $f(3) = (3 + 1)^2 = 4^2 = 16$.
- Step 4: Check options: Option (4) is 16, correct.
- Step 2: Compute $f(3) = 3^2 + 2 \times 3 + 1 = 9 + 6 + 1 = 16$.
- Step 3: Verify: $f(x) = (x + 1)^2$, so $f(3) = (3 + 1)^2 = 4^2 = 16$.
- Step 4: Check options: Option (4) is 16, correct.
Was this answer helpful?
0
0
Top Questions on Miscellaneous
- "ASEAN took steps to establish an ASEAN community on the basis of its three pillars." Explain the importance of these three pillars.
- CBSE CLASS XII - 2025
- Political Science
- Miscellaneous
- If the system of equations \[ x + 2y - 3z = 2 \] \[ 2x + \lambda y + 5z = 5 \] \[ 4x + 3y + \mu z = 33 \] has infinite solutions, then \( \lambda + \mu \) is equal to
- JEE Main - 2025
- Mathematics
- Miscellaneous
- If the square of the shortest distance between the lines $$ \frac{x-2}{1} = \frac{y-1}{2} = \frac{z+3}{-3} \quad \text{and} \quad \frac{x+1}{2} = \frac{y+3}{4} = \frac{z+5}{-5}, $$ is $ \frac{m}{n} $, where $m, n$ are coprime numbers, then $m+n$ is equal to:
- JEE Main - 2025
- Mathematics
- Miscellaneous
- Find the value of \[ \sin 70^\circ \left( \cot 10^\circ \cot 70^\circ - 1 \right). \]
- JEE Main - 2025
- Mathematics
- Miscellaneous
- What is the shape of the \( \text{ClO}_2^- \) ion according to VSEPR theory?
- JEE Main - 2025
- Chemistry
- Miscellaneous
View More Questions
Questions Asked in CAT exam
- When 3333 is divided by 11, the remainder is
- CAT - 2024
- Divisibility and Remainder
- Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.
- CAT - 2024
- Para Jumbles
- The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Scientific research shows that many animals are very intelligent and have sensory and motor abilities that dwarf ours. Dogs are able to detect diseases such as cancer and diabetes and warn humans of impending heart attacks and strokes. Elephants, whales, hippopotamuses, giraffes, and alligators use low-frequency sounds to communicate over long distances, often miles. Many animals also display wide-ranging emotions, including joy, happiness, empathy, compassion, grief, and even resentment and embarrassment. It’s not surprising that animals share many emotions with us because we also share brain structures, located in the limbic system, that are the seat of our emotions.- CAT - 2024
- Para Summary
- There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: Taken outside the village of Trang Bang on June 8, 1972, the picture captured the trauma and indiscriminate violence of a conflict that claimed, by some estimates, a million or more civilian lives.
Paragraph: The horrifying photograph of children fleeing a deadly napalm attack has become a defining image not only of the Vietnam War but the 20th century. Dark smoke billowing behind them, the young subjects' faces are painted with a mixture of terror, pain and confusion. (2) Soldiers from the South Vietnamese army's 25th Division follow helplessly behind. (3) The picture was officially titled "The Terror of War," but the photo is better known by the nickname given to naked 9-year-old at its centre "Napalm Girl". (4)- CAT - 2024
- Para Completion
- Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key in the number of that sentence as your answer.
- CAT - 2024
- Para Jumbles
View More Questions