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3 years ago

What is the answer to g(3b)=x^2-x

Mathematics

1 answer:

vitfil [10]3 years ago

7 0

B = x^2−x / 3g

..?.?........?.............

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Given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)

denis-greek [22]

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ $\frac{2[g(x)]}{2}$ = $\frac{10x}{2}$ + $\frac{4}{2}$

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

7 0

3 years ago

alvin ran a 5-kilometer race.when he was halfway to the finish line, how many meters did he have left to run?

MrRissso [65]

Answer:

2.5km

step-by-step explanation:

half of 5

4 0

3 years ago

5+4 X 2+6-2 X 2-1

Dahasolnce [82]

(5+4)(2)+6−(2)(2)−1=(9)(2)+6−(2)(2)−1=18+6−(2)(2)−1=24−(2)(2)−1=24−4−1=20−1=19

3 0

3 years ago

What is the volume of a picnic cooler that it 2ft wide, 3ft long, and 1 1/2 ft deep? PLZ HELP

olga_2 [115]

To find the volume of the picnic cooler, you multiply the three dimensions together.

(2 ft)(3 ft)(1 1/2 ft)
= (2 ft)(3 ft)(3/2 ft)
= 9 ft^3

The volume of the picnic cooler is 9 ft^3~

6 0

3 years ago

In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile.

elixir [45]

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

$\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324$

5 0

3 years ago