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Example Questions
Example Question #1 : How To Find F(X)
A function is given by . Find
.
Plugging in 2 wherever is present in the formula yields an answer of 14.
Example Question #2 : How To Find F(X)
If , evaluate
.
To solve this function, we simply need to understand that finding means that
in this specific case. So, we can just substitute 10 in for
.
is equal to
, so our final answer is
or
.
Example Question #3 : How To Find F(X)
In which of these relations is not a function of
?
In the relation , there are many values of
that can be paired with more than one value of
- for example,
.
To demonstrate that is a function of
in the other examples, we solve each for
:
can be rewritten as
.
can be rewritten as
can be rewritten as
need not be rewritten.
In each case, we see that for any value of ,
can be uniquely defined.
Example Question #1 : How To Find F(X)
Example Question #5 : How To Find F(X)
What is the next number in the following sequence?
To form this sequence, alternately multiply by 2 and add 5:
To keep the pattern going, double the seventh term to get the eighth:
Example Question #1 : How To Find F(X)
Define and
Evaluate
is undefined.
The easiest way to find is to take advantage of the fact that the radical expressons are conjugates, and that their product follows the difference of squares pattern.
Example Question #1 : How To Find F(X)
Define and
.
Evaluate
is undefined.
is undefined.
The domain of is the intersection of the domains of the functions
and
. Both domains are restricted by the same radical expression; since it must hold that the common radicand
is positive:
or
is therefore outside of the domains of
and
and, subsequently, that of
.
Example Question #1 : How To Find F(X)
What is the next number in the following sequence:
To get each member of this sequence, add a number that increases by one with each element:
To get the next element, add 7:
Example Question #9 : How To Find F(X)
If , then what is
?
Replace with
in the definition, then simplify.
Example Question #10 : How To Find F(X)
If , then what is
?
Replace with
in the definition, then simplify.
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