Answer:
see explanation
Step-by-step explanation:
given x² - 6x - 21 = 0 ( add 21 to both sides )
x² - 6x = 21
to complete the square
• add ( half the coefficient of the x-term)² to both sides
x² + 2 (- 3)x +9 = 21 + 9
(x - 3)² = 30 ( take the square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ±
x = 3 - = - 2.48 ( to 2 dec. places ) or
x = 3 + = 8.48 ( to 2 dec. places )
Answer:
and
have the same domain and the same range.
Step-by-step explanation:
and
First of all, let us have a look at the definition of domain and range.
Domain of a function is the set of input value i.e. the value of
for which the function
is defined.
Range of a function is the set of output value i.e. the value of
or
for the values of
in the domain.
Now, let us consider the given functions one by one:
Let us sketch the graph of given function.
Please find attached graph.
There are no values of for which p(x) is not defined so domain is All real numbers.
So, domain is or
Its range is also All Real Numbers
So, Range is or
Let us sketch the graph of given function.
Please find attached graph.
There are no values of for which
is not defined so domain is All real numbers.
So, domain is or
Its range is also All Real Numbers
So, Range is or
Hence, the correct answer is:
and
have the same domain and the same range.
