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Katyanochek1 [597]
3 years ago
13

Find the inverse of the function f(x)=−4x2−8, x≤0.

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0
\sqrt{ \frac{x+8}{-4} }

You get this by switching the f(x) and the x and then solving for the new f(x)
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Help please I will mark brainlest
rodikova [14]

Answer:

5\sqrt{7}

Step-by-step explanation:

\frac{30\sqrt{14} }{6\sqrt{2} }

Cancel out 6 in both numerator and denominator.

\frac{5\sqrt{14} }{\sqrt{2} } Rationalize the denominator of \frac{5\sqrt{14} }{\sqrt{2} } by multiplying the numerator and denominator by \sqrt{2}.

\frac{5\sqrt{14}\sqrt{2}  }{(\sqrt{2})^{2}  }

The square of  \sqrt{2} is 2

Factor 14=2 × 7. Rewrite the square root of the product \sqrt{2x7} as the product of square roots \sqrt{2}\sqrt{7}.

\frac{5\sqrt{2}\sqrt{7}\sqrt{2}   }{2}

Multiply \sqrt{2} and \sqrt{2} to get 2.

\frac{5x2\sqrt{7} }{2}

Cancel out 2 and 2.

5\sqrt{7}

Hope it helps and have a great day! =D

7 0
2 years ago
Read 2 more answers
What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ?
Ivan
The simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 is <span>6 over the quantity 4 x plus 3.

</span>

The solution would be like this for this specific problem:

( 3 /( 2x+5 )) + ( 21 / (8x^2 + 26x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (8x^2 + 20x + 6x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (4x(2x + 5) + 3(2x + 5))
= ( 3 /( 2x+5 )) + ( 21 /(2x + 5)(4x + 3)
= [ 3 (4x + 3) + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 9 + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 30 ] /(2x + 5)(4x + 3)
= 6(2x + 5) /(2x + 5)(4x + 3)
= 6 / (4x + 3)

<span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

6 0
3 years ago
If y varies directly with x and y is 37.4 when x is 17, what is the value of x when y is 13.2?
borishaifa [10]

Answer:

6

Step-by-step explanation:

We have y ∝ x which is another way of saying y varies directly with x

We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality

So y = kx or x = y/k

using y and x values know, we can solve for k and then solve for any x given y

We have

y = 37.4 =  k (17)

Therefore k = (37.4/17) = 2.2

To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 =  6

8 0
1 year ago
ABCD is a rhombus find the measures of &lt;2 and &lt;3, if m &lt;1=22
Harrizon [31]
Angle 2 = 22 degrees (that line is dividing that angle into 1 & 2 equivalently)

Angle 3 = 90 degrees.
3 0
3 years ago
If 7x - 4y = 23 and x + y = 8, what is the value of x?
Margaret [11]

Answer:

x=5

Step-by-step explanation:

7x - 4y = 23 and x + y = 8

Multiply the second equation by 4

4x + 4y = 32

Add this to the first equation

7x - 4y = 23

4x + 4y = 32

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

11x    = 55

Divide each side by 11

11x/11 = 55/11

x = 5

8 0
3 years ago
Read 2 more answers
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