Question

If f (x) = x${}^2$, find $\frac{\text{f(1.1) - f(1)}}{\text{1.1 - 1}}$

• A. 2.1
• B. 2.2
• C. 2.3
• D. 2.4

Answer 1

The correct option is A 2.1

Given: f (x) = x${}^2$
$\Rightarrow$ f(1.1) = (1.1)${}^2$
= 1.21
f(1) = 1${}^2$
= 1
Now, $\frac{\text{f(1.1) - f(1)}}{\text{1.1 - 1}}$ = $\frac{\text{1.21 - 1}}{\text{1.1 - 1}}$

= $\frac{0.21}{0.1}$
$\therefore \frac{\text{f(1.1) - f(1)}}{\text{1.1 - 1}}=2.1$