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xxTIMURxx [149]
4 years ago
10

Given f(x) = V6x and g(x) =

Mathematics
1 answer:
AURORKA [14]4 years ago
4 0

Answer:

8 is the only one that will work

Step-by-step explanation:

(f o g)(x)=f(g(x)).

So this means the x will first be plug into g.

So let's check your choices.

g(6)=1/(6-6)=1/0 so 6 is not in the domain of g which means it isn't in the domain of (f o g).

g(8)=1/(8-6)=1/2  so this is a number so 8 is in the domain of g,

Let's check if 1/2 is in the domain of f.

f(1/2)=sqrt(6*1/2)=sqrt(3) so this is a number so since 1/2 is in the domain of f then 8 is in the domain of (f o g).

g(4)=1/(4-6)=1/(-2)=-1/2 so 4 is in the domain of g,

f(-1/2)=sqrt(6*-1/2)=sqrt(-3) so this is a problem because you can't square root negative numbers so -1/2 isn't in the domain of f, and therefore 4 isn't in the domain of (f o g).

g(2)=1/(2-6)=1/-4=-1/4 so 2 is in the domain of g.

f(-1/4)=sqrt(6*-1/4)=sqrt(-3/2) so again this is a problem because we can't square root negative numbers so -1/4 isn't in the domain of f, and therefore 2 isn't in the domain of (f o g).

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118° (10x+2)° solve for x and z
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Answer:

Simplifying

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Reorder the terms:

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Solving

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Add '2' to each side of the equation.

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<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12Simplifying</u></em>

<em><u>Combine like terms: 118 + 2 = 12010x = 120Divide each side by '10'.x = 12Simplifyingx = 12</u></em>

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3 years ago
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Here, i matched them for you! hope this helps u! :) (please mark as brainliest if u can

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Step-by-step explanation:

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