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3 years ago

What is the inverse of the function

Mathematics

1 answer:

cluponka [151]3 years ago

3 0

Answer:

y = (x - 1) / 2 (First answer choice)

Step-by-step explanation:

1) Start with f(x) = 2x + 1

2) Replace f(x) with y: y = 2x + 1

3) Interchange x and y: x = 2y + 1

4) Solve this result for y: 2y = x - 1, or y = (x - 1) / 2 (This matches the first

answer choice.)

You might be interested in

Find the variance of this probability distribution. Round to two decimal places.

attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

$\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\$

Where:

$X: Values \\\mu: Mean \\N: Number\ of\ values$

The mean can be calculated as each value multiplied by its probability

$\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15$

$\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6$

Replacing the mean and the summatory of X:

$\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775$

4 0

4 years ago

Solve this absolute value equation and show all work.

vitfil [10]

I was confused at first until I realized that you'd shared not one, not two, but three questions in one post. would you please post just one question at a time to avoid this.

I'll focus on your second question only: Solve <span>3 + |2x - 4| = 15.

Subtr. 3 from both sides. Result: |2x - 4| = 12

Divide all terms by 2, to reduce: |x - 2| = 6

Case 1: x-2 is already +, so we don't need | |:

x - 2 = 6 => x = 8 (first answer)

Case 2: x-2 is negative, so |2x-4| = -(2x-4) = 6

Then -2x + 8 = 6. Subtr. 8 from both sides: -2x = -2

Div both sides by -2: x = 1 (second answer)

Be sure to check these results by subst. them into the original equation.

Please post your other questions separately. Thanks and good luck!

</span>

6 0

3 years ago

Calculating the future value of property: Ben Collins plans to buy a house for $220,000. If that real estate is expected to incr

irina1246 [14]

FUTURE VALUE = PRESENT VALUE * (1 + r)^t

PV = 220,000
r = 3%
t = 7 years

FV = 220,000 * (1 + 3%)^7
FV = 220,000 * (1.03)^7
FV = 220,000 * 1.22987386542487
FV = 270,572.25

8 0

3 years ago

Read 2 more answers

Please help Ill give brainy pleas help please

MissTica

Answer:

m=0

Step-by-step explanation:

it just is as there is no change

3 0

2 years ago

Kyle walks 3 blocks south from his home to school, and jana walks 2 blocks north from her home to kyle's home. how far and in wh

Nostrana [21]

If Jana has to walk 2 blocks north to get to Kyle's home, then 3 blocks south to get to school, this means that she has just retraced the 2 blocks she walked to get to Kyle's home.

So the school is just 1 block south of Jana's home.

6 0

3 years ago