If `f(x)=x^(2)`, then evaluate: `(f(1*2)-f(1))/(1*2-1)`

Answer

To evaluate the expression \((f(1.2) - f(1)) / (1.2 - 1)\) where \(f(x) = x^2\), we can follow these steps:

### Step 1: Calculate \(f(1.2)\)
We start by substituting \(1.2\) into the function \(f(x)\):
\[ f(1.2) = (1.2)^2 = 1.44 \]

### Step 2: Calculate \(f(1)\)
Next, we substitute \(1\) into the function:
\[ f(1) = (1)^2 = 1 \]

### Step 3: Substitute values into the expression
Now we can substitute \(f(1.2)\) and \(f(1)\) into the expression:
\[ \frac{f(1.2) - f(1)}{1.2 - 1} = \frac{1.44 - 1}{1.2 - 1} \]

### Step 4: Simplify the numerator and denominator
Calculating the numerator:
\[ 1.44 - 1 = 0.44 \]
Calculating the denominator:
\[ 1.2 - 1 = 0.2 \]

### Step 5: Divide the numerator by the denominator
Now we can perform the division:
\[ \frac{0.44}{0.2} = 2.2 \]

### Final Answer
Thus, the value of the expression is:
\[ \boxed{2.2} \]

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