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4 years ago

G(x) = 3x - 3 n(x) = 2x - 3 Find (g. h)(x)

Mathematics

1 answer:

Aleksandr [31]4 years ago

6 0

Greetings From Brasil...

G(X) = 3X - 3

H(X) = 2X - 3

(GoH)(X) = G(H(X))

So, just replace the X of G(X) by the function H(X)

G(X) = 3X - 3

G(H(X)) = 3 · H(X) - 3

G(H(X)) = 3 · (2X - 3) - 3

G(H(X)) = (6X - 9) - 3

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What is the solution to the equation x + 4.7 = 6.3?

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The value of X is 1.6

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3 years ago

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-5x + 8y = -21 3x - 4y = 15

fomenos

The value of x and y in the equation -5x + 8y = -21 and 3x - 4y = 15 are 9 and 4 respectively.

<h3>What is an equation?</h3>

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

The equation is given as:

-5x + 8y = -21

3x - 4y = 15

Multiply equation i by 3

Multiply equation ii by 5

-15x + 24y = -63

15x - 20y = 75

Add both equations

4y = 12

Divide

y = 12/4

y = 3

From 3x - 4y = 15

3x - 4(3) = 15

3x - 12 = 15

Collect like terms

3x = 12 + 15

3x = 27

Divide

x = 27/3

x = 9

Therefore, x = 9 and y = 4.

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6 0

1 year ago

The population of a city is modeled by the exponential function ƒ (x) = 689,254 · 2.40.014x, where x is the number of years af

Alex Ar [27]

Answer:

Step-by-step explanation:

Given the population of a city is modeled by the exponential function

ƒ (x) = 689,254 · 2.4e^0.014x, where x is the number of years after 2000

In order to determine the year that the city's population will exceed one million, we will substitute f(x) = 1,000,000 and find x first as shown:

1,000,000 = 689,254 2.4e^0.014x,

1000000/689,254 = 2.4e^0.014x,

1.4508 = 2.4e^0.014x,

1.4508 /2.4 = e^0.014x,

0.6045 = e^0.014x,

Apply ln to both sides

ln 0.6045 = lne^0.014x,

-0.5033 = 0.014x

x = -35.95

Since x cannot be negative, lets say x ≈ 36years

This means that the population will exceed one million after about 36 years. The year it will exceed this amount will be 2000+36 = 2036

Note that the exponential equation used was not correctly written but the same calculation can be employed for any exponential functions you might have.

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3 years ago

I need help please :)

EleoNora [17]

Answer:

x is any integer except for -1

Step-by-step explanation:

If you substitute -1 for x, the denominator value would be 0, or undefined.

For this reason, x cannot be -1, which is mathematically known as an extraneous value.

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3 years ago