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2 years ago

Given the functions below, find (f - g) (2). f(x) x2 + 3 g(x) = 4x – 3 =

Mathematics

1 answer:

kakasveta [241]2 years ago

5 0

Answer:

(f - g)(2) = 2

Step-by-step explanation:

Given the functions below, find (f - g) (2).

f(x) = x² + 3

g(x) = 4x – 3

(f - g)(x) = (x²+3)-(4x-3)

(f - g)(x) = x²+3-4x+3

(f - g)(x) = x²-4x+6

(f - g)(2) = (2)²-4(2)+6

(f - g)(2) = 4-8+6

(f - g)(2) = 2

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, i

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Answer:

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Step-by-step explanation:

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Equating:

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2 years ago

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svetoff [14.1K]

You only flip the inequality sign when you multiply or divide both sides by a negative number.

================================================

Problem 1

$3 - 8x \ge -29\\\\-8x \ge -29-3\\\\-8x \ge -32\\\\x \le \frac{-32}{-8} \ \text{ inequality sign flip}\\\\x \le 4$

The inequality sign flip happens because we divided both sides by -8.

The graph will have a closed circle at 4 with shading to the left.

Three solutions are x = 0, x = 1, x = 2. You can pick any three numbers you want as long as they are 4 or smaller.

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Problem 2

$1x+2x-7 < 6\\\\3x-7 < 6\\\\3x < 6+7\\\\3x < 13\\\\x < \frac{13}{3}\\\\x < 4 \frac{1}{3}$

The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.

Your choice of three solutions is correct. You can pick anything smaller than 4.3333

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Problem 3

$9-2x \le 6x-15\\\\-2x-6x \le -15-9\\\\-8x \le -24\\\\x \ge \frac{-24}{-8} \ \text{ inequality sign flip}\\\\x \ge 3$

The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.

The graph has a closed circle at 3 on the number line. The shading is to the right.

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3 years ago