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seraphim [82]
2 years ago
7

Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 8x 16 (k ∘ p)(x) = 2x2 − 16x 32 (k ∘ p)

(x) = 2x2 − 16x 25 (k ∘ p)(x) = 2x2 − 11.
Mathematics
1 answer:
never [62]2 years ago
7 0

Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

<h3>What is Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

k(x) = 2x² − 7

p(x) = x − 4

As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,

(k \cdot p)(x) = k(x) \cdot p(x)

therefore,

k(x) \cdot p(x)\\\\= (2x^2-7)(x -4)\\\\= 2x^3 - 8x^2 - 7x +28

Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

Learn more about Function:

brainly.com/question/5245372?referrer=searchResults

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Alja [10]

Answer:

The ladder is 10 ft long...

4 0
3 years ago
I WILL AWARD BRAINLIEST!!<br> Find the value of x in each case.
kondor19780726 [428]

Angle D is equal to Angle B because AB and DE are parallel to each other.


AD is a straight line so the (2) 2x angles and 72 degrees need to equal 180.

Setting up the equation you have:

2x + 2x + 72 = 180

Simplify:

4x + 72 = 180

Subtract 72 from each side:

4x = 108

Divide both sides by 4:

x = 108 / 4

x = 27



5 0
3 years ago
Which points do the graph of f and g have in g(x)=log2x and g(x)=log10x
Pie

Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)

<h3>Logarithmic function</h3>

Logarithmic are inverse of exponential functions. Given the following functions;

g(x)=log2x and g(x)=log10x

The point where the graphs intersect is the point where g(x) = g(x)

Equate

log2x = log10x

2x = 10x

The value of x that made them equal is 0

Determine the value of g(x)

g(0) = log2(0)

g(0) = ∞

Hence the point where graph of f and g intersect is (0, ∞)

learn more on log function here: brainly.com/question/13473114

#SPJ1

7 0
2 years ago
The sum of three numbers is 95. The first number is 5 more than the third. The second number is 4 times the third. What are the
kotykmax [81]

Answer:

20, 60, 15

Step-by-step explanation:

Let the third number be n, then

The first number is n + 5 and the second number is 4n

Sum the 3 numbers and equate to 95, that is

n + 5 + 4n + n = 95 ← collect like terms on left side

6n + 5 = 95 ( subtract 5 from both sides )

6n = 90 ( divide both sides by 6 )

n = 15

Thus

The first number is 15 + 5 = 20

The second number is 4 × 15 = 60

The third number is 15

4 0
4 years ago
In 12 years megan will be four times as old as she was 15 years ago. How old is she now?
Crank

Answer:

x + 12 = 4 * (x - 15) --> x = 24


7 0
3 years ago
Read 2 more answers
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