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Paul [167]
3 years ago
13

Brainliest to whoever gets it right first

Mathematics
1 answer:
Inga [223]3 years ago
3 0
I just guessed and it is 108
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Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
PLEASE HELP URGENT!!!! Can someone plss help me with these!!
lana66690 [7]

Answer:

ok who are 38 no butplease

4 0
2 years ago
(100 points if answered) (attatched screenshot) Algebra II need question 1 and 2
Elanso [62]
Domain: (-♾,2)U(2,♾), {x | x ≠2}
Range: (-♾,3) U(3,♾), {y | y ≠ 3}

Sorry that’s all I can help with


3 0
3 years ago
Which of the binomials below is a factor of this trinomial?
mart [117]

Hi there! :)

Answer:

\huge\boxed{D,  x -4}

---- Starting with: ----

x² - 10x + 24

Since we have a leading coefficient of 1, simply find two numbers that sum up to -10 and multiply into 24.

By guessing and checking, we get the numbers -6 and -4. Put these into factors:

(x - 6)(x - 4)

Therefore, a binomial present in factored form is D. x - 4

8 0
3 years ago
Read 2 more answers
Write six times ten to the second power into a decimal
antiseptic1488 [7]
0.600. If I'm wrong please tell me so I can correct my answer and recalculate it. 
5 0
3 years ago
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