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
Read more about Domain of function at; brainly.com/question/10197594
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Answer:
Step-by-step explanation:
(m+2)3
m*3+2*3
3m+6
distributive property example:
a(b+c)
=a*b+a*c
=ab+ac
Answer:
a. y = 3x + 4.5 & y = 7x + 2
b. x = 0.625 (year)
c. 6.375 feet
Explanation:
Type A starts at 4.5 and Type B starts at 2 ,each year can be marked as x
type A grow 3 inches per year = 3x
type B grows 7 inches per year = 7x
y = the total height
Since they both equal to y, you can set them equal to each other
3x + 4.5 = 7x +2
After solve you get answer for b
Work: 3x + 4.5 = 7x + 2
4.5 = 4x + 2
2.5 = 4x
0.625 = x
Substitute the value of x you got from part b into each equation then you will get 6.375 as your y value which is also your height
P to the fourth power plus 6r
