Yes, it is continuous to its domain
<h2>Explanation:</h2><h2></h2>In order to find the domain of the function we need to get the restrictions:
1. From natural log:
2. From quotient:
Matching these two restrictions the domain is:
So the function is continuous to its domain because is defined for every x-value in the interval )
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m x H =
Step-by-step explanation:
Step 1; Multiply 5 with this matrix and we get a matrix
Multiply the fraction with the matrix
and we get
Step2; Now equate corresponding values of the matrices with each other.
-5 = and so on. By equating we get the value of m as
Step 3; Add the matrices to get the value of matrix m.
Adding the three matrices on the RHS we get .
Step 4; Adding the matrices on the LHS we get the resulting matrix as H +
. Equating the matrices from step 3 and 4 we get the value of H as
Step 5; Now to find the value of m x H we need to multiply the value of with the matrix
Step 6; Multiplying we get the matrix m x H = [ -25
]