The functions are given as,
Substitute the values of f(x) and g(x) in h(x), and simplify,
Thus, option C is the correct choice as it represents the correct expression of the function h(x).
Consider the given function g(x) as,
Since the function f(x) is not given here, we will use the same function from the above part of the problem,
According to the given condition,
Substitute the values,
Consider this as the parent equation.
Square both sides,
Apply the quadratic formula,
Consider that the square root term cannot contain any negative number inside. So the following solution is not feasible,
So, the only feasible solution of the parent equation is,
Thus, there is only one value of 'x' that satisfies the condition.
Therefore, option B is the correct choice.