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Ad libitum [116K]
3 years ago
6

6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4) sos idk how to solve this:)

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

\huge\boxed{(f\circ g)(x)=8x-19}

Step-by-step explanation:

(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\f(x)=4x-7;\ g(x)=2x-3\\\\\text{Put instead}\ x\ \text{expression}\ 2x-3\ \text{to }\ f(x):\\\\(f\circ g)(x)=4(2x-3)-7=(4)(2x)+(4)(-3)-7=8x-12-7=8x-19

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2) Calculate the time to make a whole round, by making a proportion with the two ratios:


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ratio 1 = ratio 2 =>

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=> x = 3 * 37.68 / 14.13 = 8 s


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So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s



Answer: 0.785 rad / s


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