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

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Question:

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

Answers

Answer:f(3x + 4) = 5x + 8⇔ f(3x + 4) = [tex]\frac{5}{3}(3x+\frac{24}{5})[/tex]⇔ f(3x + 4) = [tex]\frac{5}{3}(3x+4+\frac{4}{5})[/tex]⇒ f'(x) = [tex]\frac{5}{3}(x+\frac{4}{5})[/tex]=> f(3) = [tex]\frac{5}{3}(3+\frac{4}{5})= \frac{19}{3}[/tex]Step-by-step explanation:

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