Question

Evaluate the function f(x)= 2[[x]] + 7 for x = -7. ​

A)​ f(x)= -21
B)​ f(x)= 2
C)​ f(x)= -2
D)​ f(x)= -7
E)​ f(x)= 7

Answer 1

To evaluate the function f(x) = 2[[x]] + 7 for x = -7, substitute x into the function and calculate the result.

Step-by-step explanation:

To evaluate the function f(x) = 2[[x]] + 7 for x = -7, we substitute the value of x into the function. Since [[x]] refers to the greatest integer less than or equal to x, we have [[x]] = -7 in this case. Substituting the values, we get:

f(-7) = 2(-7) + 7 = -14 + 7 = -7.

Therefore, the value of the function f(x) for x = -7 is -7. Therefore, the correct answer is D) f(x) = -7.