Question

If f(x) = x², find \[\frac{f\left( 1 . 1 \right) - f\left( 1 \right)}{\left( 1 . 1 \right) - 1}\]

Answer 1

Given:
f(x) = x²

Therefore,

\[\frac{f\left( 1 . 1 \right) - f\left( 1 \right)}{\left( 1 . 1 \right) - 1} = \frac{\left( 1 . 1 \right)^2 - \left( 1 \right)^2}{\left( 1 . 1 - 1 \right)} = \frac{1 . 21 - 1}{0 . 1} = \frac{0 . 21}{0 . 1} = 2 . 1\]