Answer:
Step-by-step explanation:
<u>Composite Function</u>
Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:
For practical purposes, it can be found by substituting g into h.
The functions g and h are given as:
Substituting g into h:
Operating:
Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e.
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is .
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.