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andrew-mc [135]

2 years ago

5

For f(x) = 2x² + 3x-10 and g(x) = 3(x-2) find fog (3)

1 answer:

slamgirl [31]2 years ago

4 0

(f o g) = 2(3x - 6)^2 + 3(3x - 6) - 10
(f o g) = 2(9x^2 - 36x + 36) + 9x - 18 - 10
(f o g) = 18x^2 - 72x + 72 + 9x - 28
(f o g) = 18x^2 - 63x + 44

(f o g)(3) = 18(3)^2 - 63(3) + 44
= 162 - 189 + 44
= -27 + 44
= 17

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2 years ago

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Vera_Pavlovna [14]

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2 years ago

Read 2 more answers

Dr. Brown did 6 experiments at 7AM. Dr. Rachal did 8 experiments at 6PM. They both had 564 tools each. Dr. Brown used 386 and Dr

devlian [24]

Answer:

Step-by-step explanation:

Total number of tools for both = 564.

Dr Brown used 386 tools for 6 experiments.

average number of tools per experiment used by Dr Brown = $\frac{386}{6}$

= 64 $\frac{1}{3}$

Dr Rachal used 236 tools for 8 experiments.

average number of tools per experiment used by Dr Rachal = $\frac{236}{8}$

= 29 $\frac{1}{2}$

i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64 $\frac{1}{3}$ )

= 2.7668

Dr Brown can do two more experiments.

The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29 $\frac{1}{2}$ )

= 11.1186

Dr Rachal can do 11 more experiments.

ii. Number of tools left after Dr Brown's experiments = 564 - 386

= 178

Number of tools left after Dr Rachal's experiments = 564 - 236

= 328

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2 years ago