11 times what give you 165
2 answers:
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Answer:
f(x) = (x +4)(x -1)(x -2)²
Step-by-step explanation:
The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.
Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:
f(x) = (x -(-4))(x -2)(x -1)(x -2)
f(x) = (x +4)(x -1)(x -2)²
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<em>Additional comment</em>
When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.
Answer:
The only zero of is
.
Step-by-step explanation:
The function is the inverse of function
.
For a given and a given
,
if and only if
.
Let be a zero of
. That is,
.
By the reasoning above, since and this particular
satisfy
, it must be true that
for the same
and
.
Since and
,
. Therefore,
since
.
Thus, the zero of would be
.