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20.01.2022 •
Mathematics
Let f(x) = 4x2 + 8x + 7 and g(x) = 3x + 2. Determine the rule for the composite functions f ∘ g and g ∘ f.
(g ∘ f)(x) =
(f ∘ g)(x) =
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Ответ:
(g ° f)(x) = 12x² + 24x + 23
(f ° g)(x) = 36x² + 72x + 49
Step-by-step explanation:
Here we go. Firstly you have to rewrite f ° g into f(g(x)), that should make it clearer. We, then substitute every x in f by g(x). So:
f(g(x)) = 4(g(x))² + 8(g(x)) + 7
= 4(3x+2)²+8(3x+2)+7
= 4(9x²+12x+4) + 24x + 16 + 17
= 36x² + 48x + 16 + 24x + 16 + 17
finally.. you need to regroup like that:
f ° g(x) = 36x² + 72x + 49
The same thing for g ° f(x)
but this time you substitute by f(x) in g(x) instead.
Ответ:
2:5
Step-by-step explanation:
david=24mins
mark = 1hour
change 1 hour to mins
DAVID=24
MARK=60
24:60
THEN SIMPLIFY
24/60
=2/5
2:5