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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I think the answer is 2.77247 because the 4 that is between 7 and 9 is smaller than 5 so you keep the seven
Answer:
f(x)=19(2)^x
Standard form of exponential graph is f(x) = ab^x
Plugging in (0, 19), you get
19 = ab^0 -> 19 = a(1)
a=19
f(x)=19b^x
1216 = 19(b)^6
64=b^6
b=2
-> f(x) = 19(2)^x
Distance-Rate-Time Problems. An object that moves at a constant rate is said to be in uniform motion. ... Uniform motion problems may involve objects going the same direction, opposite directions, or round trips. In the diagram below, the two vehicles are traveling the same direction at different rates.
Answer is -15 degrees Fahrenheit.
No needed explanation :)
