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sergij07 [2.7K]
2 years ago
15

Question 1 Let f(x) = 2x^2 - 3x - 4 and g(x) = x + 5. Find (fg)(x).

Mathematics
1 answer:
Scilla [17]2 years ago
7 0

The function (fg)(x) is a composite function

The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

<h3>How to determine the function (fg)(x)?</h3>

The functions are given as:

f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.

To calculate (fg)(x), we make use of

(fg)(x) = f(x) * g(x)

So, we  have:

(fg)(x) = (2x^2 - 3x - 4) * (x + 5)

Expand

(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20

Collect like terms

(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20

Evaluate

(fg)(x) = 2x^3 + 7x^2 - 19x - 20

Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

Read more about composite function at:

brainly.com/question/10687170

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Write an equation of a line that passes through (5,
enyata [817]

Answer:

y = 1/5x - 11

Step-by-step explanation:

perpendicular to a line means we flip the slope to opposite of what it is

in other wrds, since your slope is -5, your new slope for the line perpendicular to it would be 1/5.

Now we just use the same equation to find the y-intercept, which is b.

y = mx + b; m is your slope and b is your y intercept.

use the points given; (5, -10).

-10 = 1/5(5) + b

-10 = 1 + b

-11 = b

now put your equation together since you have all the pieces

y = 1/5x - 11

3 0
3 years ago
A tree casts a shadow that is 231 cm long. Janet is 170 cm tall and she casts a shadow that is 102 cm long. How tall is the tree
Mekhanik [1.2K]

Answer:

139 cm

Step-by-step explanation:

7 0
3 years ago
A consumer survey conducted in two consecutive years determined that a fixed baskets of goods and services cost $95.00 in year 1
Gnesinka [82]

Answer:

1.315%

Step-by-step explanation:

Given:

Prices:

Year 1 =old price =$95

Year 2 = new price = $96.25

The inflation rate is the difference in price between two Given period :

Inflation rate :

(Change in price / old price) * 100%

((New price - old price) / old price) * 100%

((96.25 - 95) / 96) * 100%

= (1.25 / 95) * 100%

= 0.0131578 * 100%

= 1.315%

3 0
2 years ago
Que es él valor dé 9 en asistencia
timurjin [86]
No sé lo siento esqje necesito mas puntos lol hahaha
4 0
3 years ago
Please help!
Anni [7]

You have to solve for F so you need to get it by itself which means it would look like:

9/5C+32=F

Then you plug in 33 for C and solve. When you round to the nearest whole number, you get D. 91

8 0
3 years ago
Read 2 more answers
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