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Ratling [72]
3 years ago
7

Given f(x) = x - 7 and g(x) = x2. Find g(14))

Mathematics
2 answers:
Alex17521 [72]3 years ago
4 0

Answer:

196

Step-by-step explanation:

g(x) = x^2

Let x = 14

g(14)  = 14^2

        = 196

Free_Kalibri [48]3 years ago
4 0

Answer: 196

Step-by-step explanation:

F(x)= x-7

G(x)= x2

Find g(14)

G(x)= g(14)

Therefore x=14

Substitute for x in g(x)

G(14)= (14)^2

G(14)= 14×14

G(14)= 196

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3 years ago
What is the square root of 49/100?​
anzhelika [568]
The square root is 0.7
5 0
3 years ago
Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

6 0
3 years ago
Read 2 more answers
Solve for x. What is x/15 = 21/5?​
melisa1 [442]

Answer: x = 63

Step-by-step explanation:

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3 * 21 = 63

63/15 = 21/5

8 0
3 years ago
Read 2 more answers
(fog)(x). F(x)=3x, g(x)=x+7
ivann1987 [24]

For this case we have the following functions:

f (x) = 3x\\g (x) = x + 7

We must find (f_ {0} g) (x). By definition we have to:

(f_ {0} g) (x) = f (g (x))

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Finally, the composite function is:

(f_ {0} g) (x) = 3x + 21

Answer:

(f_ {0} g) (x) = 3x + 21

4 0
3 years ago
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