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lana [24]
3 years ago
7

What is the inverse of function f f(x)=√x +7

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer: f⁻¹(x)=(x-7)²

Step-by-step explanation:

To find the inverse function, we want to switch the y with the x and vice versa. Then we solve for y.

y=\sqrt{x} +7        [switch y with x and x with y]

x=\sqrt{y} +7        [subtract both sides by 7]

x-7=\sqrt{y}        [square both sides]

y=(x-7)^2

Now, we know that f⁻¹(x)=(x-7)².

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-8(6+X) + 4(2x + 7) = 0
Talja [164]

Answer:

-20 = 0

Step-by-step explanation:

-8 (6 + x) + 4 (2x + 7) = 0

-48 - 8x + 8x + 28 = 0

-20 = 0

3 0
3 years ago
A waffle cone has a volume of 31.254 cubic centimeters and a radius of
arlik [135]

Answer:

4.78 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is

V = (1/3)πr²h.  Here, V = 31.254 cm³ and r = 2.5 cm.  

We begin by solving V = (1/3)πr²h for the unknown height, h:

         31.254 cm³              3(31.254 cm³)            93.762 cm³

h = ------------------------  =  --------------------------  =  --------------------  ≈  4.78 cm

            (1/3)πr²                       π(2.5 cm)²               19.635 cm²

5 0
3 years ago
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slop
LekaFEV [45]

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

6 0
3 years ago
What are the square roots of 196?
Lera25 [3.4K]
Question 1 = 14 & -14
question 3= 15 & -15
question 5 = 13 & -13
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3 years ago
A rectangular picture has a length of 9 1/2 feet and width of 7 7/8 feet. How will you determine how much border is needed.
raketka [301]

Answer:

c) part

Step-by-step explanation:

5 0
3 years ago
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