1a) The domain is a set of all real numbers not equal to 5
1b) The domain is a set of all real numbers not equal to 4
<h3>What is the domain of the function?</h3>
Domain of a function is the set of all possible input values that make the function defined.
1a) We are given the function;
C(x) = -3²/(x - 5)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 5
1b) The function is; R(x) = 4x/(3x - 12)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 4
2a) Function is;
f(x) = (x + 8)/(2x - 1)
f(2) = (2 + 8)/(2(2) - 1)
f(2) = 10/3
f(0) = (0 + 8)/(2(0) - 1)
f(0) = -8
f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)
f(-1/2) = -15/4
2b) Function is;
r(t) = (t² + 8)/(t³ - 25t)
r(3) = (3² + 8)/(3³ - 25(3)) = -17/48
r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7
r(-1) = ((-1)² + 8)/((-1)³ - 25(-1)) = 9/24 = 3/8
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5t=45
45/5=9
The answer is C
Hope I helped
Answer:
-2(y+4)-2y >8
-2y-8-2y>8
-4y-8>8
-4y<8+8
When you move a number on the other side it changes the side then > will become <
-4y<16
-4y/-4<16/-4
y<-4
Answer:
slope: -1/3
you find the slope by taking one point (0,2) and then finding the change in y over the change in x from it to another point (3,1) :
1-2/(3-0) = -1/3
Domain is the values of x. x is from -5 to 7, it includes -5 ([ ] is the include symbol, but doesn't include 7, so C is the answer