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Dmitry [639]
2 years ago
11

For all values of x, f(x) = x^2 + 1 and g(x) = x-5

Mathematics
1 answer:
Elena-2011 [213]2 years ago
6 0

Answer:

a)  f g(x) =  x³ - 5 x² + x -5

b) g(f(x) =  x³ - 5 x² + x -5

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that f(x) = x² + 1 and g(x) = x-5

a)

      f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

<u><em>Step(ii):-</em></u>

a) f g(x)  = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b)   g(f(x)  = g(x) f(x) = (x-5) (x²+1) =  x³ - 5 x² + x -5

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