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C) If f(3x + 4)=5x + 8, find f '(x) and f(3)​

C) If f(3x + 4)=5x + 8, find f '(x) and f(3)​
asked 88.5k views
21 votes
C) If f(3x + 4)=5x + 8, find f '(x) and f(3)​

asked
User Max Young
by
7.9k points

1 Answer

8 votes

Answer:

f(3x + 4) = 5x + 8

⇔ f(3x + 4) =
(5)/(3)(3x+(24)/(5))

⇔ f(3x + 4) =
(5)/(3)(3x+4+(4)/(5))

⇒ f'(x) =
(5)/(3)(x+(4)/(5))

=> f(3) =
(5)/(3)(3+(4)/(5))= (19)/(3)

Explanation:

answered
User Nimizen
by
8.0k points
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