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Nikolay [14]
3 years ago
10

???????????????????????

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0
42 iThink

Eduedjefjefjef
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What is the inverse of this function? (Function in photo)
valkas [14]

Given:

The function is

f(x)=-\dfrac{1}{2}\sqrt{x+3},x\geq -3

To find:

The inverse of the given function.

Solution:

We have,

f(x)=-\dfrac{1}{2}\sqrt{x+3}

Put f(x)=y.

y=-\dfrac{1}{2}\sqrt{x+3}

Interchange x and y.

x=-\dfrac{1}{2}\sqrt{y+3}

Isolate the variable y.

-2x=\sqrt{y+3}

(-2x)^2=y+3

4x^2-3=y

y=4x^2-3

Putting y=f^{-1}(x), we get

f^{-1}(x)=4x^2-3

For x\geq -3,

x+3\geq 0

\sqrt{x+3}\geq 0

-\dfrac{1}{2}\sqrt{x+3}\leq 0

f(x)\leq 0

It means for function f(x)\leq 0 and for inverse function x\leq 0 because the range of the function is the domain of inverse function.

Therefore, f^{-1}(x)=4x^2-3 for x\leq 0.

3 0
3 years ago
4) In a fraction, this is the number above the fraction bar.
bazaltina [42]

Answer: Numerator

Step-by-step explanation:

The numerator is the number on top of the fraction bar.

The denominator is the fraction under the fraction bar.

For example: 3 <--- numerator

--

4 <--- denominator

It can also be written like 3/4, it means the same thing.

Hope this helps :)

6 0
3 years ago
Why are exponents used in mathematics? Please help!! 10 points!!
Oksi-84 [34.3K]
Hi There!
 
Exponents are used in math so its easier to multiply. For example if you have to do 8 * 8 * 8 * 8 * 8 * 8 * 8 * 8, then to make it easier to multiply you could change into the exponent form 8^{8}  that is what exponents are used for in math

Hope This Helps :)
4 0
4 years ago
George has sold $75 worth of sandwiches at his concession stand today. Each sandwich sells for $5. He hopes to sell at least $60
boyakko [2]
5x + 75 > = 600 (thats greater then or equal)
3 0
3 years ago
Write down the equation of a line that is parallel to the line with equation y=7-4X
Leona [35]

Answer:

y=8-4x

Step-by-step explanation:

4 0
3 years ago
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