Please answer! Thank so much,
2 answers:
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Answer:
The domain of the transformed function is:
[0,∞)
Step-by-step explanation:
We know that the domain of a function is the set of all possible values where the function is defined i.e. the possible x-values.
Now we are given a parent function f(x) as:
Now, it is given that the function f(x) is transformed three units downward.
So, the resulting function g(x) is given as:
Hence, the function g(x) is defined for all x≥0.
( Since, the square root function is not defined for negative real numbers and for rest values it is defined)
Hence, the domain is given as:
[0,∞)
Answer:
A) A is an invertible matrix ( TRUE )
B) A is a row equivalent to the n x n identity matrix ( n = 3 ) ( TRUE )
C ) The equation Ax = 0 has only the trivial solution ( TRUE )
D ) The columns of A form a linearly independent set ( TRUE )
Step-by-step explanation:
Assuming a matrix A
det A = 1 [ 0 -3 ] + 2 [12 + 5 ] + 1[-1]
= -3 + 34 -1 = 30 ≠ 0
THEREFORE det A = 30 ≠ 0
Attached is the detailed solution of the given statements above
