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Given the function [tex] f(x) = x^2 [/tex]:

1. What is [tex] f(x) + f(x) + f(x) [/tex]?
[tex]\[ 3 f(x) = \square \][/tex]

2. Evaluate [tex] 3 f(2) = \square \]

Sagot :

GinnyAnsweridn
Sure, let's solve each part of the question step-by-step.

### Step 1: Calculate [tex]\( f(x) + f(x) + f(x) \)[/tex]

Given the function:
[tex]\[ f(x) = x^2 \][/tex]

First, calculate [tex]\( f(x) \)[/tex]:
[tex]\[ f(x) = x^2 \][/tex]

Next, sum [tex]\( f(x) \)[/tex] three times:
[tex]\[ f(x) + f(x) + f(x) = x^2 + x^2 + x^2 \][/tex]

Combine the terms:
[tex]\[ x^2 + x^2 + x^2 = 3x^2 \][/tex]

So:
[tex]\[ f(x) + f(x) + f(x) = 3x^2 \][/tex]

### Step 2: Calculate [tex]\( 3 f(x) \)[/tex]

We already know that:
[tex]\[ f(x) = x^2 \][/tex]

Now multiply [tex]\( f(x) \)[/tex] by 3:
[tex]\[ 3 f(x) = 3 \cdot x^2 \][/tex]

So:
[tex]\[ 3 f(x) = 3x^2 \][/tex]

### Step 3: Evaluate [tex]\( 3 f(2) \)[/tex]

First, substitute [tex]\( x = 2 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[ f(2) = 2^2 = 4 \][/tex]

Next, calculate [tex]\( 3 f(2) \)[/tex]:
[tex]\[ 3 f(2) = 3 \cdot 4 = 12 \][/tex]

### Summary of the answers
1. [tex]\( f(x) + f(x) + f(x) = 3x^2 \)[/tex]
2. [tex]\( 3 f(x) = 3x^2 \)[/tex]
3. [tex]\( 3 f(2) = 12 \)[/tex]

These are the final solutions to each part of the question.
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