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inna [77]
3 years ago
13

Find the inverse of the following f(x)=-3x^2+3 X>0

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0

Answer

f^-1(x) =√[(3-x)÷3]

Step-by-step explanation:

y=-3x^2+3

interchange 'y' with 'x'

x=-3y^2+3

make y the subject

3y^2=3-x

divide by '3' both sides

y^2=(3-x)÷3

apply square root both sides

√(y^2)=√[(3-x)÷3]

y=√[(3-x)÷3]

f^-1(x) =√[(3-x)÷3]

the inverse of the given function is

f^-1(x)=√[(3-x)÷3]

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3 years ago
Find the missing dimension.
Alecsey [184]

Answer:

2 m

Step-by-step explanation:

Here the area and the lengths of the two parallel sides of this trapezoid are given:

A = 7m^2, b1 = 3 m and b2 = 4 m.  What's missing is the width of the trapezoid.

First we write out the formula for the area of a trapezoid:

       b1 + b2

A = --------------- * w, where w represents the width of the figure.

             2

We need to solve this for the width, w.  Multiplying both sides of the above equation by

     2

------------

b1 + b2

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 2A

------------ = w

b1 + b2

Substituting 7 m^2 for A, 3 m for b1 and 4 m for b2 results in

        2(7 m^2)           14 m^2

w = ------------------ = ---------------- = 2 m

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The missing dimension is the width of the figure.  This width is 2 m.

4 0
2 years ago
A scale has a percent error of 7%. The scale reads the mass of a book as 450g. Which statement describes what the actual mass of
ozzi

Answer:

The actual mass of the book is between  481 . 5 g and 418 . 5 g.

Step-by-step explanation:

The mass of the book on the scale = 450 g

The percentage error in the scale = 7%

So, the actual mass of the book is 450 g ± 7%

Now, 7 % of  the mass 450 g = \frac{7}{100}  \times 450 = 31.5

⇒ 7% of 450 g = 31.5 g

Now, the Actual mass of the book =  450 g ± 31.5 g

450 g + 31.5 g   = 481 . 5 g

450 g - 31.5 g    = 418 . 5 g

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5 0
3 years ago
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5 0
3 years ago
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Helpppppppp pls help .
dsp73

Answer: X= 1 2 3 4  Y= 5 8 11  14

Step-by-step explanation: i tried my best

5 0
2 years ago
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