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<h2>Answer:</h2>
The conclusion that is true about f(x) and g(x) based on the table of values is:
- The function f(x) and g(x) are reflections over the y-axis.
- We know that the rule that describes the reflection over the y-axis is:
(x,y) → (-x,y)
Hence, if we have a function f(x) as:
Then it's reflection over the y-axis is:
Hence, they are reflection over the y-axis.
- Also, we know that the exponential function of the type:
where a>0 is a increasing function if b>1
and is a decreasing function if: 0<b<1
Hence, f(x) is a increasing function and g(x) is a decreasing function.
- Also, the initial value of a function is the value of function when x=0
when x=0 we see that both f(x)=g(x)=1
i.e. Both f(x) and g(x) have same initial value.
Also,by the graph we may see the relation.
We have been given that . We are asked to write
in terms of m.
First of all, we will factor from right side of equation as:
Now we will substitute in our equation as:
Upon adding on both sides, we will get:
Therefore, the equation is equivalent to
in terms of m.