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Andrei [34K]
3 years ago
10

Let f(x)=(4x^2-11)^3 and g(x)=4x^2-11. given that f(x)=(h^o g)(x), find h(x).

Mathematics
1 answer:
lozanna [386]3 years ago
7 0
So, f(x) is a composite function. This means that g(x) is inside of h(x); in other words, you would substitute g(x) for x in h(x).

Something happened to g(x) (in the form of h(x)) to turn it into f(x). You should notice that f(x) is simply g(x) raised to the third power.

Therefore, h(x) = x^3

You can check this by working it backwards.

Start with: h(x) = x^3
Substitute: x = g(x) = 4x^2-11
Now you have: h(x) = (g(x))^3 = (4x^2-11)^3

Hope this helps!
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What's the scientific notation for 0.3643
Annette [7]
The answer to the question is as the following.

3.643 * 10^(-1)
7 0
3 years ago
Is the following relation a function? (4,2), (1,1), (0,0), (1, -1), (4, -2). Give the domain and range.
Vlada [557]
(x,y)
to be  a function
for every x, ther must be only 1 y to corespond to it
basically, x must NEVER repeat with a different y
list them

ah, we see (1,1) an d(1,-1)
also (4,2) and (4,-2)
double offense
1 repeats with 1 and -1
4 repeats with 2 and -2

not a function

domain is all x values
range is all y values
if they repeat, don't list them

domain=(0,1,4)
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8 0
3 years ago
Which four inequalities can be used to find the solution to this absolute value inequality?
natita [175]

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

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

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the inequality:

3 ≤ |x + 2| ≤ 6

Hence:

x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)

This gives:

x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Please show work, i’ll mark as brainliest
bulgar [2K]

Answer:

y=4

x=-3

Step-by-step explanation:

4(-3)-9y=-48

-12-9y=-48

-9y=-36

y=4

x=-3

4 0
3 years ago
Read 2 more answers
What is 4x(12x6-4^2)+9
krok68 [10]

Answer:

48x⁷ - 64x + 9

Step-by-step explanation:

Step 1: Write out expression

4x(12x⁶ - 4²) + 9

Step 2: Evaluate exponent

4x(12x⁶ - 16) + 9

Step 3: Distribute

48x⁷ - 64x + 9

8 0
3 years ago
Read 2 more answers
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