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shepuryov [24]
3 years ago
10

If f(x) = (x+1)-1 and g(x) = x–2, what is the domain of Rx) = g(x)?

Mathematics
1 answer:
german3 years ago
3 0

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

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How do i calculate? All the way to s_75. It’s so long
mina [271]

Answer:

  -675

Step-by-step explanation:

The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.

\displaystyle S_{75}=\sum\limits_{n=1}^{75}{(67-2n)}=\sum\limits_{n=1}^{75}{67}-2\sum\limits_{n=1}^{75}{n}\\\\=75\cdot 67-2\dfrac{75(75+1)}{2}=75(67-76)\\\\=\bf{-675}

__

Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.

The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.

The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...

  75(-9) = -675

7 0
3 years ago
The two triangles shown are similar. Find the value of d/c
Stolb23 [73]

Answer:

D. None of the above

Step-by-step explanation:

\frac{c}{9}  =  \frac{d}{7.5} \\  \frac{d}{c}  =  \frac{7.5}{9}

P.S. hope it helped. If you have any questions, I'll be glad to answer them❤

7 0
3 years ago
Write the equation of a line, in slope-intercept form<br> (1,1);(-2,-11)<br> Y =
bonufazy [111]

Answer:

Y =4X  -3

Step-by-step explanation:

x1 y1  x2 y2

1 1  -2 -11

   

(Y2-Y1) (-11)-(1)=   -12  ΔY -12

(X2-X1) (-2)-(1)=    -3  ΔX -3

   

slope= 4          

B= -3          

   

Y =4X  -3    

6 0
3 years ago
Read 2 more answers
Solve for j: J/-2+7=-12
Anestetic [448]

Answer:

J=38

Step-by-step explanation:

Subtract 7 to both sides so J/-2=-19

Then multiply -2 to both sides to get -19 times -2

That equals to 38

6 0
3 years ago
Is that right? <br><br> If not please help me out.
Alex73 [517]

Answer:

Yeah.it is right

Step-by-step explanation:

7 0
3 years ago
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