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zzz [600]
3 years ago
13

Let f(x) = x2 − 16. find f−1(x). open study

Mathematics
2 answers:
Sonja [21]3 years ago
6 0
<u>+</u>√(x+16) = f^-1(x). 

Switch out f(x) with y
Swap y and x, so it's x=y^2-16
Add 16 to both sides. x+16=y^2
Find the square root of both sides...
√x+16 = √y^2


Bogdan [553]3 years ago
5 0
Okay, so first you make f(x) = y and switch x and y. So the equation becomes:

x = y^2 - 16

The next step is to get y by itself. So first you add 16 to both sides:

x + 16 = y^2

Now you square root everything, so the final answer is going to be:

the square root of x + 4 = y
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Use the graph to write a linear function that relates y to x.
sergeinik [125]
The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)

We need to find the slope (m), and the y-intercept (b/c)

To find the slope you can pick two random points, say (2,2) and (0,1)

The formula for the slope is this: m= y1-y2 / x1-x2

So if we substitute the points in, we get 2-1 / 2-0 = 1/2

Knowing the slope, it can be substituted into to the equation: y=1/2x + b

Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.

To check if this is correct, a random coordinate set can be picked and substituted in to find b.

y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b

Therefore, the final linear function is y = 1/2 x + 1
3 0
3 years ago
Find the value of y.
Luda [366]

Answer:

2\sqrt{2}

Step-by-step explanation:

Pythagorean Theorem

\sqrt{3^2-1^2}\\2\sqrt{2}

7 0
3 years ago
In a 3/4 mile relay race, each runner runs 1/16 mile. How many runners are in the race?
-Dominant- [34]
Twelve runners because if you take three-fourths times four you will get twelve-sixteenths. and each runner runs one-sixteenth so it is twelve.
3 0
3 years ago
Read 2 more answers
Find the amount of tax and the tax rate. Round to two decimal places
Makovka662 [10]

Answer:

The tax amount is 15.17$

The tax rate is 12.4%.

Step-by-step explanation:

First we subtract the cost from the selling price.

137.17 - 122 = 15.17

We have found the tax amount, now for the tax rate.

If tax rate is x, then

122 * x = 137.17

Divide both sides by 122 to get

x = 137.17/122 = 1.124, or .124.

Then convert into percentage by moving the decimal to the right 2 times.

.124 = 12.4%

Hope this helps you

3 0
3 years ago
Read 2 more answers
If 12 children represents 12.5% of the people attending a concert, how many people are attending the concert
NeTakaya

96 people are attending the concert.

Step-by-step explanation:

Given,

Number of children at concert = 12

This represents 12.5% of the people attending concert.

Let,

p be the total people attending concert.

12.5% of p = 12

\frac{12.5}{100}*p=12\\0.125p=12

Dividing both sides by 0.125

\frac{0.125p}{0.125}=\frac{12}{0.125}\\p=96

96 people are attending the concert.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/317601
  • brainly.com/question/306772

#LearnwithBrainly

7 0
3 years ago
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