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Example Questions
Example Question #1 :Evaluate Functions
Givenand, evaluate.
We are given two functions and asked to find f(h(7)).
I would begin by finding h(7)
Now that we know h(7), we go ahead and plug it into f(x).
So our final answer is simply 8.
Example Question #989 :Pre Calculus
Solve the function.
Determine the domain of.
Multiplyon both sides of the equation to cancel the denominator and divide the equationby ten.
Since the domain states that, the only possible answer is.
Example Question #990 :Pre Calculus
Solve for:
Rewriteso that the exponential variable is isolated.
Reconvertto a similar base. Use exponents to redefine the terms.
Since all terms are of the same base, use the property of log to eliminate the base on both sides of the equation.
Solve for.
Example Question #1 :Evaluate Functions
Evaluate the following function when
Evaluate the following function when
To evaluate this function, simply plug-in 6 for t and simplify:
So our answer is:
Example Question #2 :Evaluate Functions
Determine the value ofof the function
In order to determine the value ofof the function we setThe value becomes
As such
Example Question #3 :Evaluate Functions
Find the difference quotient of the function.
Difference quotient equation is
and
.
Now plug in the appropriate terms into the equation and simplify:
Example Question #4 :Evaluate Functions
Find the value of the following function when
The function is undefined at
The function is undefined at
Find the value of the following function when
To evaluate this function, plug in 2 for x everywhere it arises and simplify:
So our answer must be undefined, because we cannot divide by
Example Question #1 :Evaluate Functions
Find the value ofwhen
Find the value ofwhen
To evaluate this expression, plug in the given value ofeverywhere you see aand simplify:
So our answer is:
Example Question #6 :Evaluate Functions
If, what is?
In order to evaluate this function, simply substitute the value ofas a replacement of.
Simplify using the order of operations.
The answer is:
Example Question #1 :Evaluate Functions
Evaluatefor.
We evaluate the function when.
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