Which of the following pairs of functions are inverses of each other?
1 answer:
Answer:
B. f(x) = 5(x/4) - 3 and g(x) = [4(x + 3)]/5
Step-by-step explanation:
In the figure attached, the question is shown (the order of the options are different).
To find the inverse of a function, first, replace x with g(x) and f(x) with x, as follows:
f(x) = 5(x/4) - 3
x = 5(g(x)/4) - 3
Next, isolate g(x), as follows:
x + 3 = 5(g(x)/4)
4(x + 3) = 5g(x)
[4(x + 3)]/5 = g(x)
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Using z-scores, it is found that the value of z is z = 1.96.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean and standard deviation
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597