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boyakko [2]
3 years ago
10

WILL MARK BRAINLIEST what is the domain of (fog) (x)?

Mathematics
2 answers:
dybincka [34]3 years ago
7 0

Answer:

The domain of f (g (x)) is

x ≠ 1 and x ≠ -1

Step-by-step explanation:

We are given that

f(x) = 2/x      and

g(x) = lxl - 1

Let's plug g(x) into f(x)

f (g (x)) = 2 / (lxl - 1)

We know that we cannot have a denominator equal to zero, so we can set up an equality and solve

0 = lxl - 1

1 = lxl

Because x is an absolute value here

x = 1, x = -1

so x cannot equal either of these

Rashid [163]3 years ago
5 0

Answer:

x≠-1,1

Step-by-step explanation:

f(g(x)) is a composition where g(x) is is substituted for x in f(x).

Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.

|x|-1=0

|x|=1

x=1,-1


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What is the surface area of the triangular prism shown?
vladimir2022 [97]

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<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The surface area of the prism will be calculated as:-

SA = area of the three rectangular faces + area of the triangular faces

Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )

                                                 = 375 + 300 + 225

                                                 = 900 square cm

Area of the triangular  =\sqrt{(s(s-a)(s-b)(s-c)

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Total area of the rectangular face = 2 x 54 = 108

So the total SA area of the prism will be = 900 + 108= 1008 square cm.

Therefore surface area will be equal to option B which is 1008 square centimeters.

To know more about a surface area follow

brainly.com/question/25292087

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Step-by-step explanation:

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