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Sholpan [36]
3 years ago
13

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

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

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

⇔ f(3x + 4) = \frac{5}{3}(3x+\frac{24}{5})

⇔ f(3x + 4) = \frac{5}{3}(3x+4+\frac{4}{5})

⇒ f'(x) = \frac{5}{3}(x+\frac{4}{5})

=> f(3) = \frac{5}{3}(3+\frac{4}{5})= \frac{19}{3}

Step-by-step explanation:

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