Question

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

Answer 1

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Answer 2

Answer:

( f(1.1) - f(1) ) / (1.1 - 1) = 2.1

Step-by-step explanation:

f(x) = x²

to find ( f(1.1) - f(1) ) / (1.1 - 1)

= (1.1² - 1²)/ (1.1 - 1)

using a² - b² = (a + b)(a-b)

a = 1.1  & b = 1

= ( 1.1 + 1)(1.1 - 1)/(1.1 - 1)

caneclling (1.1 - 1) from numerator & denominator

= 1.1 + 1

= 2.1

( f(1.1) - f(1) ) / (1.1 - 1) = 2.1