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2. What is the composition f(g(x)) and the inverse of the composite (fog) given f(x) = 2x + 3 and g(x) = x-5?
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2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?
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Mathematics
3 years
2021-07-17T23:11:11+00:00
2021-07-17T23:11:11+00:00 1 Answers
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Answers ( )
Answer:
f(g(x)) = 2x – 7
g(f(x)) = 2x – 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x – 5) + 3
= 2x – 10 + 3
= 2x – 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) – 5
= 2x + 3 – 5
= 2x -2