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Ipatiy [6.2K]
3 years ago
12

Solve this problem -282 -(+1017)=

Mathematics
2 answers:
Vika [28.1K]3 years ago
5 0
-1299 hope it's good enough
nordsb [41]3 years ago
5 0
The answer to -282-(+1017) would be -735
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SEE ATTACHED
fenix001 [56]
To me personally, the first bit f(g(x)) is easy and the domain is tricky. Let's try explain this.

A function takes an input number and returns an output number depending on the function. Look at f(x) = x+3, if we let the input number be 2 then we say that f(2) = 5. We could do f(π) to give us π+3 or even f(x²) to give us x² +3. The trick is to substitute the input into the function equation.

You have been asked to find f(g(x)). You know f(x) = \frac{1+x}{1-x}. Putting numbers in at this point would be easy (try work out f(2), you'll do it really quick) but you have to put in g(x).

f(g(x)) = \frac{1+g(x)}{1-g(x)}
we also know that g(x) = \frac{x}{1-x} so we can say that
f(g(x)) = \frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} } and that is f(g(x)) but the question requires that we simplify it so
\frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} }  =  \frac{ \frac{1-x}{1-x} +  \frac{x}{1-x} }{ \frac{1-x}{1-x} - \frac{x}{1-x} } =  \frac{ \frac{1}{1-x} }{ \frac{1-2x}{1-x} } =  \frac{1}{1-2x}

f(g(x)) = \frac{1}{1-2x}

Now for the tricky bit (for me, at least). The domain is the full set of values that you can 'put in to' the function and still get a real value out. So how do we work out what numbers 'break' the function? I like to use the fact that DIVIDING BY ZERO IS IMPOSSIBLE. What value of x can we put into the function to make it so the function is being divided by 0? i.e. 1-2x = 0 solve that and you have a value of x that isn't part of the domain.

This means the domain is all real numbers EXCEPT the solution to that equation. (Because if we put that value into f(g(x)) it's impossible to get a value out.)

[I know this was a lot to read, if you have any questions or don't get anything feel free to message me or leave a comment.]

5 0
3 years ago
tim brought a car 25000 and it depreciation $350 per year. What is the value of the car after 6 years?
blondinia [14]

Answer:

22900

Step-by-step explanation:

multiply 350 by 6 and get 2100

subtract 2100 from 25k and get 22900

6 0
3 years ago
Read 2 more answers
I am factor of 12. The other factor is 3. What number am I
Goryan [66]
12*3= 36

12 and 3 could be factors of 36.

I hope this helped you! <3
8 0
3 years ago
Read 2 more answers
If you flip a fair coin 5 times, and see 3 heads and 2 tails, what fraction of the time will you expect to see a head on the six
Margaret [11]

I hope I'm not wrong here, but B.1/2? Only because its a 50% chance

6 0
3 years ago
He receives 35 rewards points just for signing up.
Reika [66]

Answer:

8

Step-by-step explanation:

5 0
2 years ago
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