Asked by pauly
If f (x) = x² + 3 and g (x) = 3x - 1 then find the following:
1. (f/g)(x)
2. (f o g)(x)
3. (f o g)(1)
4. (g o f)(x)
1. (f/g)(x)
2. (f o g)(x)
3. (f o g)(1)
4. (g o f)(x)
Answers
Answered by
Reiny
1.
(f/g)(x) = (x^2 + 3)/(3x-1)
2.
(fog)(x) = f(g(x))
= (3x-1)^2 + 3
3.
(fog)(1) = 2^2-3 = 1
4.
(gof)(x) = 3(x^2 + 3) - 1
(f/g)(x) = (x^2 + 3)/(3x-1)
2.
(fog)(x) = f(g(x))
= (3x-1)^2 + 3
3.
(fog)(1) = 2^2-3 = 1
4.
(gof)(x) = 3(x^2 + 3) - 1
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