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mars1129 [50]
3 years ago
9

Find the inverse of f(x)= 1+ square root (1+x)

Mathematics
2 answers:
Soloha48 [4]3 years ago
3 0
Here is the best answer in the world x^2-2x
galben [10]3 years ago
3 0
To find inverse
replace f(x) with y
replace all x with y and all y with x
solve for y
replace y with f⁻¹(x)


so
f(x)=1+√(1+x)
y=1+√(1+x)
x=1+√(1+y)
minus 1 both sides
x-1=√(1+y)
square both sides
x²-2x+1=1+y
minus 1 both sides
x²-2x=y
f⁻¹(x)=x²-2x


the inverse is f⁻¹(x)=x²-2x
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Help with this please
Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}

JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}

KL=\frac{1-4}{3-1}=\frac{-3}{2}

LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}

JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

\frac{2}{3}\times \frac{-3}{2}=-1

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

7 0
3 years ago
What is the volume of the sphere?
gayaneshka [121]
2304π is the answer and if you don’t want pi it’s 7238.2294738709 feet
8 0
3 years ago
If the temperature is -17° F at 8 am, and 23°F at noon, how much did the temperature rise?
dedylja [7]
17 + 23 = 40

The temperature rose 40 degrees.
3 0
3 years ago
Read 2 more answers
Please show your workings
GarryVolchara [31]
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Hope it helps!
6 0
3 years ago
Which expression is equivalent to -4/7 - 8/9 + 4/7 - 9/8
olya-2409 [2.1K]

Answer:

<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>

71/72 + 70/72 +4/72

-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8

<em>Solved: -2 1/72</em>

Step-by-step explanation:

I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.

<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>

<em>Hope this helps!</em>

5 0
2 years ago
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