Question

Evaluate the function f(x)=8− √10−x by using f(x)−f(6)/f(10).

A) Depends on x
B) 1
C) 0
D) 2

Answer 1

After calculating f(6) and f(10), we substitute these values into the given expression and conclude that the result depends on the value of x. Hence, the answer is A) Depends on x.

Step-by-step explanation:

The student asks to evaluate the function f(x) = 8 - √(10 - x) by using the expression f(x) - f(6)/f(10). To find this, we must first find the values of f(6) and f(10). Using the given function:

• f(6) = 8 - √(10 - 6) = 8 - 2 = 6
• f(10) = 8 - √(10 - 10) = 8 - 0 = 8

Now, substituting the values into the given expression:

f(x) - f(6)/f(10) = f(x) - 6/8

The value of f(x) depends on what x is, so the entire expression also depends on x. Thus, the correct answer is: A) Depends on x.

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