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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1/3m - 1 - 1/2n
= 1/3( 21) - 1 - 1/2 (12)
= 7 - 1 - 6
= 6 - 6
= 0
Answer:
The answer is 9
Step-by-step explanation:
First you cross multiply.
2*(b-4)=6b
Then distribute the 2.
2b-8=6b
Minus 2b from each side.
-8=4b
Divide each side by 4.
-2=b
So -2 is your answer.
First divide 40 by 8 to get the variable m by itself then you’ll get 5 so 5 is the answer for 4 and for 5 x= 1 since 6/6 is 1 and for 6 you just have to reverse it just like you did for question 5 so now it’s 9• 8= t so t equals 72 and this can be checked by doing 72/8= and that equals 9:)