Let's simplify the given function step-by-step.
The function we are given is:
[tex]\[ f(x) = 2x^2 - 4x^2 + 3x - 2 \][/tex]
First, let's combine the like terms.
1. Combine the [tex]\(x^2\)[/tex] terms:
[tex]\[ 2x^2 - 4x^2 \][/tex]
2. Perform the subtraction:
[tex]\[ 2x^2 - 4x^2 = -2x^2 \][/tex]
Now, the function simplifies to:
[tex]\[ f(x) = -2x^2 + 3x - 2 \][/tex]
So, the simplified form of the given function is:
[tex]\[ f(x) = -2x^2 + 3x - 2 \][/tex]
