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Jlenok [28]
3 years ago
12

Given f(x)=x3 and g(x)= 1-5x2, fine (fog)(x) and it’s Domain

Mathematics
2 answers:
Yuri [45]3 years ago
6 0

Answer:

The correct choice is B

Step-by-step explanation:

The composite function (f o g)(x) is evaluated by substituting g(x) in place of x in f(x) which yields; (f o g)(x) = (g(x))^3 which finally becomes; (1-5x^2)^3. This function clearly is not a rational function and as such it has no undefined points nor domain constraints. It is defined and real for every value of x.

andre [41]3 years ago
5 0

Answer:

Option B. f(g(x)) = (1-5x ^ 2) ^ 3  all real numbers

Step-by-step explanation:

We have

f(x) = x ^ 3 and g(x) = 1-5x ^ 2

They ask us to find

(fog)(x) and it's Domain

To solve this problem we must introduce the function g(x) within the function f(x)

That is, we must do f(g(x)).

So, we have:

f(x) = x ^ 3

g(x) = 1-5x ^ 2

Then:

f(g(x)) = (1-5x ^ 2) ^ 3

The domain of the function f(g(x)) is the range of the function g(x) = 1-5x ^ 2.

Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers

Therefore the correct answer is the option b: f(g(x)) = (1-5x ^ 2) ^ 3

And his domain is all real.

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How many whole numbers are less than 600 but are multiples for both 8 and 11
shutvik [7]

Answer:

6

Step-by-step explanation:

11 = 11*1

8 = 2*4

They have no common factors, so the LCM (least common multiple) is

2*4*11 = 88

The multiples of 8 and 11 below 600 are multiples of 88

88*1 =88

88*2 =176

88*3 =264

88*4 =352

88*5 =440

88*6 =528

This is the last multiple because if we add 88 if would be over 600

7 0
3 years ago
If 28 people want to go to Italy and 16 percent of people want to go to France and 48 people want to go to Korea how many people
topjm [15]
It should be 8 people.
16% of 100 people is 16 people.
16+28+48=92
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3 0
3 years ago
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Gabriel has a stack of nickels that is 0.72 inch tall. The thickness of a nickel is 0.08 inch. How many nickels does Gabriel hav
olganol [36]
Gabriela has a stack of 9 nickels.
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7 0
3 years ago
Which expression is equivalent to (– 17x3 + 91x – 5) – (9x3 – x2 + 6)? A – 8x3 – x2 + 91x + 1 B – 8x3 + x2 + 91x – 11 C – 26x3 –
Snezhnost [94]

Answer:

c

Step-by-step explanation:

-26x3-x2+91x+1

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A graduated cylinder is filled with 36\pi36π36, pi cm^3
qaws [65]

Answer:

ay bruv the answer is 2+2=4-1=3 quick maths.

Step-by-step explan

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