Please write your answer along with a few lines of reasoning as a comment below within the next 1 hour:
If f(x+y) = f(x)f(y) and f(6) = 4, then f(9) + f(-3) is equal to
Comments
Nancy verma - Apr 20, 2023
My answer is 8.5
f(3+3)=4=f(3)^2
f(3)=2,-2
Now, for f(-3)=0.5,-0.5
f(9)=f(6)f(3)=4*2=8 or -8
f(9)+f(-3)=8.5,-8.5
Ayushi verma - Apr 20, 2023
My answer is ±8.5
f(6)= 4, f(3+3)=4, f(3)²=4, f(3)=±2
Similarly f(-3)=±0.5
So, f(9)+f(-3)= ±8.5
Sumanth paul - Apr 20, 2023
My answer is 8.5
Subsituting x = x and y = 0, we get f(0) = 1
Subsitiuting x = x and y = -x, we get f(x) = 1/f(-x);
f(6) = 4 => f(3) = 2;
f(9) + f(-3) = 2*4 + 1/2 = 8.5