Question

If f(x)= 12(2)^x then which of the following represents the value of f(-2)?

(1) -48
(2) 6
(3) 3
(4) -4

Answer 1

(3) 3

Explanation:

`f(x)=12(2)^x\\\\f(-2)\to\text{put x = -2 to the equation of the function}\ f(x):\\\\f(-2)=12(2)^(-2)\qquad\text{use}\ a^(-n)=(1)/(a^n)\\\\f(-2)=12\left((1)/(2^2)\right)=12\left((1)/(4)\right)=(12)/(4)=3`