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If f(x) = x²-x+1, find f(2).
a) 5
b) 3
c) 1
d) 7

2 Answers

4 votes

Final answer:

To find f(2), substitute x = 2 into the function f(x) = x² - x + 1, which gives f(2) = 3.

Step-by-step explanation:

To find the value of a function at a specific input, you need to substitute that input into the function. The input is typically represented by a variable,

Choose a specific value for

Decide on a particular value for the variable

Substitute the value into the function:

Calculate the result: Perform the calculations to find the output or function value.

To find f(2), we substitute x = 2 into the function

f(x) = x² - x + 1.

Therefore, f(2) = (2)² - (2) + 1 = 4 - 2 + 1 = 3.

So, the correct answer is b) 3.

User StAlphonzo
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6 votes

Final Answer:

The value of f(2) for the function f(x) = x²-x+1 is 3.(b)

Step-by-step explanation:

To find f(2) for the function f(x) = x² - x + 1 , we substitute x = 2 into the function:

f(2) = (2)² - 2 + 1

Let's solve this step by step:

f(2) = 2² - 2 + 1

f(2) = 4 - 2 + 1

f(2) = 2 + 1

f(2) = 3

Therefore, when we substitute x = 2 into the function f(x) = x² - x + 1 , we get f(2) = 3. This means that when x is equal to 2, the output (or the value of the function) is 3.

This calculation involves replacing the variable x with the value 2 in the function equation and then performing the arithmetic operations (squaring, subtracting, and adding) accordingly to find the resulting value, which in this case is 3.

So, the value of f(2) for the given function f(x) = x² - x + 1 is indeed 3.(b)

User PeterPan
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8.4k points