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A function f is defined by f(x)=3-2x. find x such that f(x^2)=(f(x))^2 |
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Answer» : X = 1 SOLUTION : • Given : f(x) = 3 - 2x • To FIND : The value of x if f(x²) = (f(x))²Now , => f(x²) = (f(x))²=> 3 - 2x² = (3 - 2x)²=> 3 - 2x² = 3² + (2x)² - 2•3•2x=> 3 - 2x² = 9 + 4x² - 12X => 4x² + 2x² - 12x + 9 - 3 = 0=> 6x² - 12x + 6 = 0=> 6(x² - 2x + 1) = 0=> x² - 2x + 1 = 0=> x² - 2•x•1 + 1² = 0=> (x - 1)² = 0=> x = 1 , 1=> x = 1 Hence , x = 1 . |
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