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Sonbull [250]
3 years ago
12

Find the inverse of 2∛(x+2)

Mathematics
1 answer:
Artemon [7]3 years ago
5 0
y=2\sqrt[3]{x+2}\ \ \ |divide\ both\ sides\ by\ 2\\\\\sqrt[3]{x+2}=\dfrac{y}{2}\to x+2=\left(\frac{y}{2}\right)^3\ \ \ |subtract\ 2\ from\ both\ sides\\\\x=\dfrac{y^3}{2^3}-2\\\\x=\dfrac{1}{8}y^3-2\\\\\boxed{f(x)=2\sqrt[3]{x+2}\to f^{-1}(x)=\frac{1}{8}y^3-2}
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TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN
Vesnalui [34]

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1  then f-1(x)  is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x  in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

7 0
3 years ago
A pair of numbers that can be used to locate a point on a coordinate plain
Blizzard [7]

Answer:

(5,2)

Step-by-step explanation:

6 0
3 years ago
Jasmine has taken an online boating safety course and is now completing her end-of-course exam. As she answers each question, th
seropon [69]

Answer:

80 questions

Step-by-step explanation:

100%/20%=5%

5×16=80

8 0
3 years ago
A data set has a maximum of 84, a minimum of 34, a median of 52.5, an upper quartile of 64, and a lower quartile of 44. Which st
Akimi4 [234]

Answer:

A box and whiskers plot has a box whose endpoints are the interquartile range (25th percentile and 75th percentile), has a dividing line at the median, aka the 50th percentile, and whiskers that extend out to the minimum and the maximum of the data.

Let's sort the info for ease of reference:

min 34, lower quartile 44, median 52.5, upper quartile 64, max 84.

OK, let's go through the statements.

A. The box will go from 44 to 64.

The box goes from the lower quartile to the upper quartile, TRUE

B. A line dividing the box will be at 54.

There's no 54 mentioned at all, FALSE

C. The left whisker will go from 34 to 52.5.

The left whisker goes from the minimum to the lower quartile, 34 to 44 here, FALSE.

D. The right whisker will go from 44 to 84.

The right whisker goes from the upper quartile to the max, 64 to 84 here.  FALSE

If this could help, please mark me brainliest! Have an awesome day too!

4 0
2 years ago
Giving brainliest for help plz
Kryger [21]

Answer is B.

Thanks!!

5 0
3 years ago
Read 2 more answers
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