Q1. If f(x) = x², find and simplify f(x)-f(1)/x-1 where x ≠ 1
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Given : f(x) = x²
To find : simplify f(x)-f(1)/x-1
Solution:
f(x) = x²
f(1) = 1² = 1
f(x)-f(1)/(x-1) = ( x² - 1) /(x - 1)
= (x + 1)(x -1 )/(x -1 )
= x + 1
f(x)-f(1)/(x-1) = x + 1
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