All categories

3 years ago

Are these functions inverse from each other?

Mathematics

1 answer:

ella [17]3 years ago

7 0

This is how we can find the inverse of g(x) = x - 5/2

Replace g(x) with y.

y = (x - 5)/2

Swap x and y.

x = (y - 5)/2

Solve for y.

Multiply both sides by 2.

2x = y - 5

Add 5 to both sides.

2x + 5 = y

Replace y with g^-1(x)

g^-1(x) = 2x + 5

You might be interested in

Arnold’s entire workout consisted of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes on the tread

Sergeeva-Olga [200]

Answer:

1:2

Step-by-step explanation:

Find the ratio of the ratio of the number of minutes he lifted weights to the total number of minutes of his entire workout and simplify it

25:10+25+15

25:50

1:2

6 0

4 years ago

Read 2 more answers

The length of a rectangle is twice its width. The perimeter of the rectangle is 42 cm.

Keith_Richards [23]

Answer:

2 (x+2x)=42

or,6×=42

or x=42/6

or x=7cm

width =x=7cm

length=2x=14cm

6 0

3 years ago

(13 , 6) (-13, 6) (13 , -6) (-13, -6)

muminat

Step-by-step explanation:

a. (13, 6) = (1, 2)

b. (-13, 6) = (2, 2)

c. (13, -6) = (1, 3)

d.(-13, -6) = (2, 3)

4 0

3 years ago

Read 2 more answers

The number of cigarettes smoked per day by adults forms a normal distribution. The average number of cigarettes smoked per day i

Mariana [72]

Answer:

17.3 cigarettes represent the 35th percentile

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 20, \sigma = 7$