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MAXImum [283]
3 years ago
8

For all values of x,f(x) = x^2 + 3x and g(x) = x - 4Show that fg(x) = x^2 - 5x + 4​

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

f(g(x)) =  x² - 5x +4

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the functions

         f(x) = x² + 3 x   and g(x) = x-4

     f(g(x)) = f(x -4)   (∵ g(x) = x-4)

              = (x-4)² + 3(x-4)

              = x² - 2(4)x + 4² + 3x -12

             = x² - 8 x + 16 + 3x -12

             = x² - 5x +4

∴ f(g(x)) =  x² - 5x +4

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