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Radical Equations: Example 14
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Radical Equation Information
Let
Solve
f
(
x
) = 2
Let's review functional notation.
Does this require evaluation of
f
(2)?
No.
f
(
x
) = 2 requires finding a value of x which, when substituted in
f
(
x
), produces 2.
Does
f
(
x
) mean
f
multiplied by
x
?
No.
f
(
x
) is the name of the set of instructions represented by
.
So what do we work on?
f
(
x
) = 2 means to solve
How can we solve this?
By isolating
Do it.
Add 3 to both sides.
Should we now divide by 8 on both sides?
No, not until we take care of the cube root.
How can we clear cube root?
By raising each side to the 3rd power.
Set that up.
Do the cubing.
8
x
= 125
Solve for
x
.
How can we check this result?
We can substitute it into the
original equation
.
Do that.
We get
It checks!
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General Contents
Detailed Contents
Index