What is the inverse of f(x)=(2x+1)2 for x≥−12?
Answers
The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.
What is the inverse function?
Let the function f is given as
y = m(x + a) + c
Then the inverse function of the function f will be given by the swapping of x with y and y with x.
The quadratic function is given below.
f(x) = (2x + 1)²
Then the inverse of the quadratic function will be
x = (2f⁻¹(x) + 1)²
2f⁻¹(x) + 1 = √x
2f⁻¹(x) = √x - 1
f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0
The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.
More about the inverse function is given below.
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Answer:
Step-by-step explanation:
Theres the inverse
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Find the sum of the two polynomials (2x7−5x6−7x5+8)+(9x7−2x6−2x5−7)
Answers
The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.
The probability of selecting a black pair of socks first is:
probability = (number of black pairs)/(total number of pairs)
= 8/17
Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.
The probability of selecting a blue or white pair of socks second is:
probability = (number of blue and white pairs)/(number of remaining pairs)
= 9/16
Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:
probability = (8/17)*(9/16)
= 27/136
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Answer:
26.4%
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answers
Answer:
Shifts 4 units down --->
Stretches f(x) by a factor of 4 away from x-axis--->
Shifts f(x) 4 units right--->
Compress f(x) by a factor of 1/4 toward the y-axis --->
Step-by-step explanation:
We are given
We need to match the transformations.
1) shifts f(x) 4 units down.
When function f(x) shifts k units down the new function becomes f(x)-k
In our case
So, Shifts 4 units down --->
2) Stretches f(x) by a factor of 4 away from x-axis
When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)
So, Stretches f(x) by a factor of 4 away from x-axis--->
3) Shifts f(x) 4 units right
When function f(x) shifts h units right the new function becomes f(x-h)
So, Shifts f(x) 4 units right--->
4) Compress f(x) by a factor of 1/4 toward the y-axis
When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)
Compress f(x) by a factor of 1/4 toward the y-axis --->
(Option Not given)
(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)
Answers
Answer:
4
Step-by-step explanation:
The mean is defined as adding all the numbers up and dividing by how many numbers there are, so:
3+8+2+2+5 = 20, 20/5 = 4
Answer:
4
Step-by-step explanation:
mean is the average so you add up all the numbers and divide by the number of addicts.
3 + 8 + 2 + 2 + 5 = 20
20/ 5 = 4
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Answer:
89
Step-by-step explanation:
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Answer:
8- ff fj hfghgggģrdvbuhgffffgbhjjhhh
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Answer:
third one
Step-by-step explanation: