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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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frozen [14]

Answer:

10%

Step-by-step explanation:

To find the percentage, ask yourself, how much is 2000 of the original value which is 20350.   This can be solved by the following equation.

2000/20350=

The answer is approximately 0.09828.   Then, convert this to a percent. 9.828%. Then, round it to the nearest percent. The answer is 10%

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3 years ago
Read 2 more answers
The function f(x)=|2x| is an example of a function that has a horizontal shrinkage of 2.
GREYUIT [131]
The answer is false because 2x means it’s going to expand 2 not shrink
8 0
3 years ago
2x-5y=11 and -2x+3y=-9
Ede4ka [16]
For this sys of equations, like all, we first have to solve for y or x in either equation
In this case, lets solve for y in the 2nd equation
-2x+3y=9
add 2x to both sides
3y=9+2x
divide 3 on both sides
y=2/3(x) + 3

now plug in y for the first equation
2x-5(2/3x)+3/11
simplify
-4/3(x) + 3=11
subtract 3 from both sides
-4/3x=8
multiply 3/4 on both sides
x= -6

now plug in x for either equation, lets do the first one again
2 (-6)-5y=11
-5y-12=11
add twelve to both sides
-5y=23
divide
y=-23/5

your final answer would be
x=-6, y=-23/5
6 0
3 years ago
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Answer:

6

Step-by-step explanation:

f(0) means let x=0

In the table when x=0 f(0) =6

8 0
3 years ago
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