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4 years ago

Determine the inverse of the function. (show work please)

Mathematics

1 answer:

uysha [10]4 years ago

5 0

Answer:

This is easy -- it's just a list of steps. At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1: Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2: Switch the x and y

( because every (x, y) has a (y, x) partner! ):

x = -( 1 / 3 )y + 1

STEP 3: Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4: Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:

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The lengths of human pregnancies are normally distributed with a mean of 268 day & a standard deviation of 15 days. What is

elena-s [515]

Answer:

Step-by-step explanation:

The lengths of human pregnancies are normally distributed with a mean of 268 day and a standard deviation of 15 days

From the information given,

mean, u =268

standard deviation, s = 15

x is number of days

For normal distribution,

z = (x-u)/s

Probability of x greater than or equal to 300 will be 1 - probability of x lesser than 300

z = (300-268)/15 =32/15 = 2.13

Looking at the normal distribution table, the value is 0.98341

Probability of x greater than or equal to 300 will be 1 -0.98341

= 0.01659

4 0

3 years ago

Read 2 more answers

Simplify the expression. Write your answer as a power.

FromTheMoon [43]

When you have the same base buy different exponents, subtract the exponents:
5-3=2
4.5^2

6 0

2 years ago

What is the average rate of change for the sequence shown below? (I added a picture)

BlackZzzverrR [31]

The average rate of change for the problem would be -1/2

4 0

3 years ago

Read 2 more answers

Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12

GuDViN [60]

Answer:

ab+bc+ac=47

Step-by-step explanation:

(a+b+c)=12

Square both sides

a^2+b^2+c^2+2(ab+bc+ac)=144

2(ab+bc+ac)=94

ab+bc+ac=47

5 0

3 years ago

Read 2 more answers

What is 10.743 rounded to the nearst hundred

borishaifa [10]

Hi there!

$QUESTION:$

What is 10.743 rounded to the nearest hundredth?

$ANSWER:$

10.74 (2 decimal places)

Remember the rule:

If a number is less than 5, we round down.
If the number is 5 or more, we round up.

Here, 3 is less than 5, so we round down.

<h2>Therefore, our final answer is: 10. 74</h2>

Hope this helps you!

~Just a felicitous girlie

#HaveASplendidDay

$SilentNature :)$

3 0

3 years ago