Final answer:
To find the value of f(4) in the given function, we substitute x = 4 into the function and simplify. Option (B) is correct.
Step-by-step explanation:
To find the value of f(4), we substitute x = 4 into the function f(x).
f(x) = √x / (1/√x)
f(4) = √4 / (1/√4)
Since √4 = 2, the expression becomes f(4) = 2 / (1/2).
When we divide a fraction by its reciprocal, we multiply the fraction by the reciprocal. So, f(4) = 2 * 2 = 4.
Therefore, f(4) = 4, so the answer is b) 4.
The value of a mathematical expression is the result of the computation described by this expression when the variables and constants in it are assigned values. The value of a function, given the value(s) assigned to its argument(s), is the quantity assumed by the function for these argument values.
The value of the function at the specified value of the independent variable can be determined by substituting that value in the place of independent variable. After the above substitutions, simplify the resultant expression to find out the final result.
While the notation and wording is different, the process of evaluating a function is the same as evaluating an equation: in both cases, you substitute 2 for x, multiply it by 4 and add 1, simplifying to get 9.