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What is the domain in interval notation for #f (x ) = \frac { x - 1 ...
Explanation: The given function is defined for all real values of x, except x=3, which makes it undefined. Hence the domain of f (x) is all real numbers excluding x=3.
Question #fcfb5 - Socratic
Explanation: #f (x)# = # (sqrt (x+1))/ (x^2-9)# Here, considering denominator, # (x^2-9) # which becomes zero when #x=+-3# leads us to the value of the function to take infinity. Hence the domain happens to be, Set of all real numbers except -3 and +3 (-infinity, #<-3#), U # (>3#, infinity) 2. #f (x)# = #x^4log (x-2) # Here, consider the term #x-2#, which is zero at x=2, when #log (x-2)# is ...
Question #586a5 + Example - Socratic
Your question doesn’t seem logical. Neither 3sqrt (-64) or sqrt (-64) can be simplified to real numbers. The square root of a negative number is always an imaginary number. The examples can be simplified to have the lowest value radicand, but this will still be an imaginary number.
Question #2872d + Example - Socratic
A rank-m tensor is a mathematical object that represents N^m real numbers, where N is the dimension of space. rank-0 Tensor: represents a single real number and is usually called a scalar. Examples of rank-0 tensors (scalars) are temperature, density etc. rank-1 Tensor: represents N real numbers and is usually called vectors. Examples of rank-1 tensor (vector) are velocity, force, etc. rank-2 ...
Solve the inequality 1/x
S:x in ]-oo;0 [uu [1+sqrt2;+oo [ 1/x<=|x-2| D_f:x in RR^"*" for x<0: 1/x<=- (x-2) 1> -x²-2x x²+2x+1>0 (x+1)²>0 x in RR^"*" But here we have the condition that x<0 ...
What is the range of 20x+4? - Socratic
Because there are no restrictions on the value of x AND because this is a linear transformation: The Range is the set of all Real Numbers or {RR}
What is a simple way to explain the domain and range of an ... - Socratic
Here #f (x)# is defined for all real numbers greater or equal to 0, often written #forall x in RR: x>=0# Thus, the domain of #f (x)# is # [0,+oo)# Across this domain #f (x)# can take all real positive numbers without finite bound and the number zero. Hence, the range of #f (x)# is also # [0,+oo)#
Question #181b6 - Socratic
The slope is 10/6. In this case, it is quite simple to find the slope of the equation since the equation is already in slope-intercept form. What is slope-intercept form? y=color (red)mx+color (blue)b where color (red)m and color (blue)b are both real numbers. color (red)m = slope, and color (blue)b = the y-coordinate of the y-intercept (in other words, the line intercepts the y-axis at the ...
Question #4c938 - Socratic
Log of a negative number is undefined. There is no solution for this in real numbers. To solve it you would have to deal with complex numbers.
Question #5aa42 - Socratic
See explanation. Between any 2 real numbers there are infinitely many other numbers. To find such numbers you can do the following: Find the common denominator: 1/5=3/15; 1/3=5/15 The number between them is: 4/15
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