The function f(a) has been transformed to g(æ) +7. Given %3D (2-2)

Q: Given f(x) = 2x2 + 1 and g(x) = 6x - 8, find the followin %3D (a) f(g(2)) 33 (b) f(g(x)) (c) g(f(x))…

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Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

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Q: Which function is increasing as x approaches negative infinity and decreasing as a approaches…

A: We have to find  which function is increasing as x approaches negative infinity and decreasing as x…

Q: Determine h(x2) for the following function. 4x h(x) = %3D x2 + 9x + 20

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Q: Find each value if f(x) =-5x+2 and g(x) = -2x+3 a. f(3) = b. g(6) = c. g(1/2) = d. f(5) + g(-9) = e.…

A: Given  fx=-5x+2 & gx=-2x+3

Q: Given f(x) = 2x² + 1 and g(x) = 4x – 5, find the following. %3D (a) (g(2)) (b) f(g(x)) (c) g(f(x))…

A: Given: f(x) = 2x2 +1;   g(x) = 4x-5(a)…

Q: If f(x) = 2x + 3x – 1, evaluate the following. %3D (a) f(a) (b) f(-a) (c) f(a + h) f(a + h) – f(a)…

A: Given, fx=2x2+3x-1 a) fa is found as follows: Substitute a for x in the given function.…

Q: 5-1 f(x) %3D

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Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g…

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)…

Q: f(x) = x + x - 6 %3D g(x) = x + 3 %3D (f + g)(4) = %3D (f – 9)( – 3) = (f · g)( – 5) =

A: The given functions are  fx=x2+x-6g(x)=x+3 Obtain the value of f+g(4).…

Q: If f(x) = x² + 5 and g(x) = x – 4, evaluate the following %3D f(6) a. b. g(6)

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Q: d) Find the inverse of the function f(x) = 3x - 5 %3D

A: Given y= 3x-5 To find inverse, lets swap x and y =>x=3y-5 Lets subject y now x+5=3y y=(x+5)/3…

Q: 1. Given f(x) = -2x and g(x) = x - 7, find g(f(2)). *

A: f(x)=-2x g(x)=x-7

Q: The inverse function of f(x) = 4x + 2 is %3D f-1(2) =

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Q: Find the inverse algebraically

A: The inverse of a function y=f(x) can be obtained by interchanging the variables x and y. The…

Q: Ay 2- -4 -2 2 -2

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Q: 3x-4 5 Show your work: O {,-3} O {-},3} O {-3} O {}}

A: x =a   ⇒  x= ±a

Q: Find the inverse of the one-to-one function f(x)= 3x + 1.

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Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x- 5. 8. Find (f + g)(2) 9. Find (fg)(3)

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Q: Let A = {4, 8, 10, –4} and B = {64, 256, 400, 324}. Now, f : A → B defined by f(x) Answer the…

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Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: The inverse of the function f(z) +2 is f(z)- %3D 8 O 40(z-2) O 8(z-2) O 56(z - 2) O 16(z-2) O 8(z-4)

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Q: If f (x) = 3x + 2 and g (x) = x² - x, find the value. %3D 8(-3) =

A: Given query is to find value of g(-3).

Q: Find the inverse of each function Зх + 4 1. f (x) = 3(x – 5) + 9 2. f (x) = 16

A: To find the inverse of the given functions.

Q: Which function is equivalent to h(z) = = 9x - 24 + 16? Oh(z) (9z - - 4) 4) (x – 4) Oh(z) (9x + 4) (x…

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.