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WARRIOR [948]
3 years ago
8

Find the indicated values, where

Mathematics
2 answers:
nataly862011 [7]3 years ago
4 0

For this case we have, that given two functions f (x) and g (x), then:

The composite function of f with g is: (gof) (x) = g [f (x)]

The function composed of g with f is: (fog) (x) = f [g (x)]

In this case we have:

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

First we solve g (1):

g (1) = 1 ^ 2-1 = 0

Now:

2 * g (1) = 2 * 0 = 0

Then we have left:

f (0) = 1 + 0 = 1

So, we have to:

f (2g (1)) = 1

Answer:

Option A

jonny [76]3 years ago
3 0

A.

Firstly, you should deal with the inner function.

1^2 - 1 = 0

And

2 x 0 = 0

So 2g(1) = 0

Applying the outer function:

0 + 1 = 1

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An Equilateral Triangle has sides that all measure 10 inches. What is
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2 years ago
How many triangles can you draw with side lengths 2cm, 3cm, and 8cm?
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3 years ago
Eight times the sum of 8 and some number is 17. What is the number?
OverLord2011 [107]
Edited answer: The number is:  "- 6" .
_______________________________________________

 8 (8 + x) = 16 ;  

in which "x" represents the number for which to be solved ;

8*8 + 8*x = 16 .

Edit:  64 + 8x = 16 ;

Subtract "64" from each side of the equation:

Edit:   64 + 8x − 64 = 16 <span>− 64 ;

to get:  8x = </span>- 48 ;

Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the <span>equation ; and</span> to solve for "x" ;

Edit:     8x / 8 = -48 / 8 ; 

  Edit:    x = - 6 .
______________________________________________
The number is:  "- 6" .
______________________________________________
 Let us check our answer, by plugging in "-6" for "x" in the original equation:
______________________________________________
8 (8 + x) = 16 ; 

→ 8 [8 + (-6) ]  =? 16 ?? ; 

→ 8 (8 − 6 )  =? 16 ?? ; 

→ 8 (2)  =? 16 ?? ; 

→ 16 = ? 16 ??  Yes!
_________________________________________________
4 0
3 years ago
Read 2 more answers
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