Function- No solution

Question

For the function, f(x)= 6sin(10x)+8, explain why the equation f(x)=0 would fail to have any solution.

Answer 1

f(x) = 6sin (10x) +8

6sin(x) +8 =0

sin (x) = -8/6

sin (x) = -4/3

sin (x) = -1.33333. You notice that the value of he sin(x) is greater than -1. The range (or value of the variable y=f(x) should be between -1≤ y≤1 and it is not. Therefore the function f(x) =0 fail to yield any solution.