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Given [tex]\( f(x) = x^2 \)[/tex], what is [tex]\( f(x) + f(x) + f(x) \)[/tex]?

[tex]\(\square\)[/tex]


Sagot :

To find [tex]\( f(x) + f(x) + f(x) \)[/tex] when [tex]\( f(x) = x^2 \)[/tex], follow these steps:

1. First, evaluate [tex]\( f(x) \)[/tex]:
[tex]\[ f(x) = x^2 \][/tex]

2. Since we need to add [tex]\( f(x) \)[/tex] three times, we can express it as:
[tex]\[ f(x) + f(x) + f(x) \][/tex]

3. Substitute [tex]\( f(x) \)[/tex] with [tex]\( x^2 \)[/tex]:
[tex]\[ x^2 + x^2 + x^2 \][/tex]

4. Combine like terms:
[tex]\[ x^2 + x^2 + x^2 = 3x^2 \][/tex]

Therefore, [tex]\( f(x) + f(x) + f(x) = 3x^2 \)[/tex].