Given f(x)=x^2 -3x, find f(2x) in simplest form.
so i got that you plug 2x in for x:
f(2x)=2x^2-6x
is that simplest form?
or should it be further condensed into 2x(x-6)?
thanks for your time i really appreciate it (:
f(2x) = (2x)^2 - 3 (2x)
= 4 x^2 - 6 x
To find f(2x), you need to substitute 2x for x in the function f(x) = x^2 - 3x. So, f(2x) = (2x)^2 - 3(2x).
Now, let's simplify this expression step by step:
1. Expanding the square: (2x)^2 = 4x^2.
2. Distributing the -3 across the term: 3(2x) = 6x.
Combining these results, we have f(2x) = 4x^2 - 6x, which is the simplest form of the expression you obtained. There's no further simplification needed.
So, f(2x) = 4x^2 - 6x.