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3 years ago

Find the inverse f(x)=(x-5)^2

Mathematics

2 answers:

Ivenika [448]3 years ago

8 0

Answer:

f − 1 ( x ) = √ x + 5 , − √ x + 5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y

LUCKY_DIMON [66]3 years ago

3 0

Answer:

f⁻¹(x) = ±√x + 5

Step-by-step explanation:

We have given a function.

f(x) = (x-5)²

We have to find the inverse of given function.

Putting y = f(x) in given equation, we have

y = (x-5)²

Taking square root to both sides of above equation, we have

±√y = x-5

x = ±√y + 5

Putting x = f⁻¹(y) in above equation,we have

f⁻¹(y) = ±√y + 5

Replace y with x , we have

f⁻¹(x) = ±√x + 5 which is the answer.

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If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.

Zina [86]

Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = $\frac{y(b)-y(a)}{b-a}$

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by $y = 56t − 1.86t^2.$

(a)

(i) average speed = $\frac{y(2)-y(1)}{2-1}$

$=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}$

$=50.42$ m/s

(ii) average speed = $\frac{y(1.5)-y(1)}{1.5-1}$

$=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}$

$=51.35$ m/s

(iii) average speed = $\frac{y(1.1)-y(1)}{1.1-1}$

$=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}$

$=52.094$ m/s

(iv) average speed = $\frac{y(1.01)-y(1)}{1.01-01}$

$=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}$

$=52.2614
$ m/s

(v) average speed = $\frac{y(1.001)-y(1)}{1.001-01}$

$=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}$

$=52.27814
$ m/s

(b) $y(1)=56(1)-1.86(1)^2$

$=56-1.86$

$= 54.14$ m/s

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3 years ago

I need help please Will mark brainliest. Thank you so much.

Ipatiy [6.2K]

The answer is, 168.....(extra characters)

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4 years ago

Suppose P varies directly with q and that P=36 when q=9 . <br> What is the value of P when q=3?

Yuri [45]

Answer:

P=12

Step-by-step explanation:

Since P=36 and q=9, this looks like a ratio of 4:1. So if q=3, multiply that value by 4 to get your answer

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Step-by-step explanation:

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2 years ago

Read 2 more answers