Which function below is the inverse of f(x) = x2 − 9?

Answers

Answer 1

Answer: Let f(x)=y
y= $x^(2) -9$
Make x the subject of the formula;
y+9= $x^(2)$
x= $√(y+9)$
So, the inverse of the function is thus;
$f^(') = √(x+9)$

Answer 2

Answer: f (x)=y
y=2x-9

X Y
-2 -15 y=2 (-2)-9
y=-4+-9
y=-15

-1 -11 y=2 (-1)-9
y=-2+-9
y=-11

0 -9 y=2 (0)-9
y=0+-9
y=-9

1 -7 y=2 (1)-9
y=2+-9
y=-1

2 -5 y=2 (2)-9
y=4+-9
y=-5

Here is all the work

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Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Based on monthly weigh-ins, his weight, w, can be modeled by the function w=-3m+205 where m is the number of months after January 2013a) How much did Jonathan weigh at the start of the diet?

b) How much weight has Jonathan been losing each month?

c) How many month did it take Jonathan to lose 45 pounds?

Show work plz

Answers

$a)\ \ \ w(m)=-3m+205\n\nm=0\ \ \ - at\ the\ start\ of\ the\ diet\n \nw(0)=-3\cdot0+205=205\n \nAns.\ weigh\ at\ the\ start\ of\ the\ diet\ is\ 205\ pounds\n \nb)\ \ \ w(m+1)=-3(m+1)+2015=-3m-3+205=-3m+202\n \nw(m+1)-w(m)=-3m+202-(-3m+205)=\n \n=-3m+202+3m-205=-3\n \nAns.\ Jonathan\ has\ each\ month\ 3\ been\ losing \n \n w(m)=205-45=160\ \ \ \Rightarrow\ \ \ -3m+205=160\ \ \ \Rightarrow\ \ \-3m=-45\n \nm=15\n \nAns.\ 15\ month$

What is the shape of a dice

Answers

The shape of a dice is a cube. A cube is a shape which is 3D. A cube has 6 squares which makes it 3D. A dice has dots on them. The dots stand for numbers. Each side has a different number. They have up to 6 dots.

Hope I helped ya!!!☺☺☺

a cube? is that specific enough?

A rectangle has a width of 10 centimeters. The rectangle's length is 4 times its width. What is the perimeter of the rectangle?

Answers

Answer:

100 cm.

Step-by-step explanation:

We have been given that a rectangle has a width of 10 centimeters. The rectangle's length is 4 times its width.

The length of rectangle would be $4* 10\text{ cm}=40\text{ cm}$ .

We know that perimeter of rectangle is 2 times the sum of length and width of rectangle.

$\text{Perimeter of rectangle}=2(\text{Length+Width)}$

$\text{Perimeter of rectangle}=2(\text{10 cm+ 40 cm)}$

$\text{Perimeter of rectangle}=2(\text{50 cm)}$

$\text{Perimeter of rectangle}=100\text{ cm}$

Therefore, the perimeter of our given rectangle would be 100 cm.

If it's width is 10cm then it's legth has to be 40cm. So 10+10+40+40=100cm Perimeter

What is is 15% of 32.50 and how did u get your answer

Answers

15%=15/100=0.15
'of' means multiply
15% of 32.50=
0.15 times 32.50=4.875

or you can take 32.5 divide it by 100 and multiply it by 15. either way it is 4.875

Solve for x. Evaluate and round your answer to 1 decimal place (tenths place). 10x=3588

Answers

Answer:

x =3.6

Step-by-step explanation:

$10^x=3588\n\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\n\ln \left(10^x\right)=\ln \left(3588\right)\nx\ln \left(10\right)=\ln \left(3588\right)\n\mathrm{Solve\:}\:x\ln \left(10\right)=\ln \left(3588\right):\quad x=(\ln \left(3588\right))/(\ln \left(10\right))\n\n= 3.55485\n=3.6$

If g(x)= 5-x^2 what's g(g(x))

Answers

g(x) = 5 - x^2
g(g(x)) = 5 - (5 - x^2)^2
g(g(x)) = 5 - (5 - x^2)(5 - x^2)
g(g(x))= 5 - (25 - 10x^2 + x^4)
g(g(x))= -x^4 + 10x^2 - 20

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