Answer:
{ - 1, 1, 7, 23 }
Step-by-step explanation:
To find the range substitute the values from the domain into g(x)
g(-2) = -2(- 2) + 3 = 4 + 3 = 7
g(- 10) = - 2(- 10) + 3 = 20 + 3 = 23
g(1) = - 2(1) + 3 = - 2 + 3 = 1
g(2) = - 2(2) + 3 = - 4 + 3 = - 1
Range is { - 1, 1, 7, 23 }
Go to cymath and type it in and it will work it out for you and tell you the answer
The correct solution: 4x^2 -27x +167 - 996/(x+6)
Step-by-step explanation:
The answer is the first one
Let's do this by Briot-Ruffini
First: Find the monomial root
x - 2 = 0
x = 2
Second: Allign this root with all the other coeficients from equation
Equation = -3x³ - 2x² - x - 2
Coeficients = -3, -2, -1, -2
2 | -3 -2 -1 -2
Copy the first coeficient
2 | -3 -2 -1 -2
-3
Multiply him by the root and sum with the next coeficient
2.(-3) = -6
-6 + (-2) = -8
2 | -3 -2 -1 -2
-3 -8
Do the same
2.(-8) = -16
-16 + (-1) = -17
2 | -3 -2 -1 -2
-3 -8 -17
The same,
2.(-17) = -34
-34 + (-2) = -36
2 | -3 -2 -1 -2
-3 -8 -17 -36
Now you just need to put the "x" after all these numbers with one exponent less, see
2 | -3x³ - 2x² - 1x - 2
-3x² - 8x - 17 -36
You may be asking what exponent -36 should be, and I say:
None or the monomial. He's like the rest of this division, so you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:
(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)
Just divide the rest by the monomial.