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Question

Mathematics Question on Relations and functions

If f(x)=x2f(x) = x^2 , find f(1.1)f(1)(1.11)\frac {f(1.1)-f(1)}{(1.1-1)}

Answer

f(x)=x2f(x)=x^2

f(1.1)f(1)(1.11)\frac {f(1.1)-f(1)}{(1.1-1)}

= f(1.1)2f(1)2(1.11)\frac {f(1.1)^2-f(1)^2}{(1.1-1)}

= 1.2110.1\frac {1.21-1}{0.1}

= 0.210.1\frac {0.21}{0.1}

= 2.12.1