To find the value of (f ° f)(-2) for the function f(x) = 2x^2 - 1, we first need to find the value of f(-2).

Step 1: Substitute x = -2 into the function f(x):
f(-2) = 2(-2)^2 - 1
f(-2) = 2(4) - 1
f(-2) = 8 - 1
f(-2) = 7

Step 2: Now, substitute x = f(-2) into the function f(x):
f(f(-2)) = f(7)
f(7) = 2(7)^2 - 1
f(7) = 2(49) - 1
f(7) = 98 - 1
f(7) = 97

So, (f ° f)(-2) = 97. The correct answer is A. 97.

Question

To find the value of (f ° f)(-2) for the function f(x) = 2x^2 - 1, we first need to find the value of f(-2).

Step 1: Substitute x = -2 into the function f(x):
f(-2) = 2(-2)^2 - 1
f(-2) = 2(4) - 1
f(-2) = 8 - 1
f(-2) = 7

Step 2: Now, substitute x = f(-2) into the function f(x):
f(f(-2)) = f(7)
f(7) = 2(7)^2 - 1
f(7) = 2(49) - 1
f(7) = 98 - 1
f(7) = 97

So, (f ° f)(-2) = 97. The correct answer is A. 97.

Knowee AI · Accepted Answer

To find the value of (f ° f)(-2) for the function f(x) = 2x^2 - 1, we first need to find the value of f(-2).

Step 1: Substitute x = -2 into the function f(x):
f(-2) = 2(-2)^2 - 1
f(-2) = 2(4) - 1
f(-2) = 8 - 1
f(-2) = 7

Step 2: Now, substitute x = f(-2) into the function f(x):
f(f(-2)) = f(7)
f(7) = 2(7)^2 - 1
f(7) = 2(49) - 1
f(7) = 98 - 1
f(7) = 97

So, (f ° f)(-2) = 97. The correct answer is A. 97.

For f(x) = 2x2-1, what is and (f ° f)(-2) ?Select one:A. 97B. 6C. 7D. 13