3.12...... equal 3 12/99 or 3 4/33. As a result, the final answer will be 103/33. Hope it help!
Answer:
hello : k = - 9
Step-by-step explanation:
h(x) =x²+3 and g(x) = x² - 6.....(*)
g(x) = x² +3 + k.....(**)
by (*) and (**) : 3+k = -6
3+k - 3 = - 6 - 3
k = - 9
The range of the equation is 
Explanation:
The given equation is 
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;

This can be written as 
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;

Solving for y, we get;

Applying the log rule, if f(x) = g(x) then
, then, we get;

Simplifying, we get;

Dividing both sides by
, we have;

Subtracting 7 from both sides of the equation, we have;

Dividing both sides by 2, we get;

Let us find the positive values for logs.
Thus, we have,;


The function domain is 
By combining the intervals, the range becomes 
Hence, the range of the equation is 