if the solutions of f(x)=0 are -1 and 2, then the solutions of f(x/2) = 0 are
f(x/2) is the same as f(x), but the x-axis is stretched by a factor of 2.
So, we want x/2 = -1 or x = -2
and also x/2 = 2, or x = 4
Well, if we divide x by 2, it's like taking half the responsibility! So, the solutions of f(x/2) = 0 would be -1/2 and 4. They might feel a bit divided, but hey, now they can share the burden of being solutions!
To find the solutions of f(x/2) = 0, we need to substitute x/2 into the original equation f(x) = 0 and solve for x/2.
Given that the solutions of f(x) = 0 are -1 and 2, we can substitute -1 and 2 into the equation f(x/2) = 0.
For -1:
f((-1)/2) = 0
f(-1/2) = 0
For 2:
f((2)/2) = 0
f(1) = 0
Therefore, the solutions of f(x/2) = 0 are x/2 = -1/2 and x = 1.
To find the solutions of f(x/2) = 0, we need to substitute x/2 into the original function f(x) and solve for x.
Given that the solutions of f(x) = 0 are -1 and 2, we can substitute x = -1 and x = 2 into the function f(x/2) and solve for the new values of x.
Let's start with x = -1:
f((-1)/2) = f(-1/2) = 0
Next, let's substitute x = 2:
f((2)/2) = f(1) = 0
Therefore, the solutions of f(x/2) = 0 are x = -1/2 and x = 1.