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ipn [44]
2 years ago
6

Given f(x)=x^2+5 and g(x)=2x^3-1 find (f/g)(-3)

Mathematics
1 answer:
AlekseyPX2 years ago
7 0

For this case we have the following functions:

f (x) = x ^ 2 + 5\\g (x) = 2x ^ 3-1

By definition of composition of functions we have:

(f / g) (x) = \frac {f (x)} {g (x)}

Then substituting:

f (-3) = (- 3) ^ 2 + 5 = 9 + 5 = 14\\g (-3) = 2 (-3) ^ 3-1 = 2 (-27) -1 = -54-1 = -55

So:

(f / g) (- 3) = \frac {14} {- 55} = - 0.25

Answer:

(f / g) (- 3) = \frac {14} {- 55} = - 0.25

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TIME REMAINING
arsen [322]

Answer: (3, -1)

Step-by-step explanation:

Reflecting over y = -x maps (x, y) \longrightarrow (-y, -x).

So, F(1,-3) \longrightarrow F'(3, -1)

5 0
1 year ago
Please help with this and explain how to do it, I'll give 15 points
MrRissso [65]

Answer:

Option (4).

Step-by-step explanation:

Outer diameter of the hollow metallic ball = 10 centimeters

Outer radius of this ball = \frac{10}{2} = 5 cm

Volume of the outer ball V_{1} = \frac{4}{3}\pi (r)^3

                                         = \frac{4}{3}\pi (5)^3

Inner radius of the hollow metallic ball = (5 - 1) = 4 cm

Volume of the inner hollow ball V_{2} = \frac{4}{3}\pi (4)^3

Volume of the metal used in the metallic ball = V_{1}-V_{2}

                                                                           = \frac{4}{3}\pi (5)^3-\frac{4}{3}\pi (4)^{3}

                                                                           = \frac{4}{3}\pi [(5)^3-(4)^3]

Therefore, expression given in option (4) will be used to measure the volume of the hollow metallic ball.

8 0
2 years ago
What is m<br> A.55°<br> B.58°<br> C.122°<br> D.125°
Andreyy89

Answer: k = 55 degrees

Step-by-step explanation:

to find J, subtract 122 from 180, you get 58. The total number of degrees is 180. Since L is given as 67, and 67+58=125. Simply subtract 125 from 180 which is 55 degrees

5 0
3 years ago
Would anyone like to solve this problem for me?
dalvyx [7]
The answer would be 24 pints
7 0
3 years ago
Plz help!!
Alexxx [7]

Answer:

there is a 3/4 chance that they pass will be completed, 3/4=75%.

Step-by-step explanation:

Thats all I got, I hope this may help tho! :)

6 0
2 years ago
Read 2 more answers
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