High School

If [tex]f(x) = \frac{1}{2}x^2 - 3[/tex], find [tex]f(6)[/tex].

A. 3
B. 15
C. 21
D. 69

Answer :

Answer:

15

Step-by-step explanation:

Put 6 where x is and do the arithmetic.

f(6) = 1/2·6² -3 = 1/2·36 -3

= 18 -3 = 15

Final answer:

To find f(6) for the function f(x) = 1/2 x² - 3, substitute x with 6 and simplify to get 15 as the answer.

Explanation:

To find f(6) when f(x) = 1/2 x² - 3, substitute x = 6 into the function and simplify:

f(6) = (1/2) · (6²) - 3

f(6) = (1/2) · 36 - 3

f(6) = 18 - 3

f(6) = 15

From the above solution we can conclude that, the correct answer is option B.15.