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Question
If f(x) = x2, find \[\frac{f\left( 1 . 1 \right) - f\left( 1 \right)}{\left( 1 . 1 \right) - 1}\]
Solution
Given:
f(x) = x2
Therefore,
\[\frac{f\left( 1 . 1 \right) - f\left( 1 \right)}{\left( 1 . 1 \right) - 1} = \frac{\left( 1 . 1 \right)^2 - \left( 1 \right)^2}{\left( 1 . 1 - 1 \right)} = \frac{1 . 21 - 1}{0 . 1} = \frac{0 . 21}{0 . 1} = 2 . 1\]
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