Question #20717

Find and simplify a) f(a), b) f(a + h) and f(a+h)-f(a) / h , h≠0 using the given function.
f(x)=x^2-2x+3

Expert's answer

a)f(a)=a^2-2a+3

b)f(a+h)=(a+h)^2-2(a+h)+3=a^2+2ah+h^2-2a-2h+3;

f(a+h)-f(a) / h=a^2+2ah+h^2-2a-2h+3-(a^2-2a+3)/h;

b)f(a+h)=(a+h)^2-2(a+h)+3=a^2+2ah+h^2-2a-2h+3;

f(a+h)-f(a) / h=a^2+2ah+h^2-2a-2h+3-(a^2-2a+3)/h;

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