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2 years ago

Can someone plssss solve number 54?????i need this

Mathematics

1 answer:

Vilka [71]2 years ago

6 0

Answer:

I cant see it, can u put the photo better put?

Step-by-step explanation:

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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.

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2 years ago

If a person was to buy 57 pounds of chocolate & it was 32$ a pound how much would it cost

Scilla [17]

Answer:

$1,824

Step-by-step explanation:

57*32 = 1,824.

4 0

2 years ago

Gradient of line AB (3,7) and (5,11)

larisa [96]

Answer:

Gradient is change in y over change in x.

gradient = y1-y2 ÷ x1-x2

=7-11 ÷ 3-5

=-4 ÷ -2

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2 years ago

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Sasha can run at an average speed of 9 3/4 min/mi. She runs at this speed for 68 1/4 min.

valentina_108 [34]

She can travel 665.4375 miles in 68.25 min.

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2 years ago

What is the mixed decimal 17.45 as a mixed number and reduce to lowest terms

Hunter-Best [27]

17.45 = 17 45
100 and you can divide the numerator and denominator by 5

so the final answer is 17 9
 20

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2 years ago