Evaluate the Function f(4x^2)=3- square root of 4x^2

$f (4 x^{2}) = 3 - \sqrt{4 x^{2}}$

Step 1

Rewrite $4 x^{2}$ as ${(2 x)}^{2}$ .

$f (4 x^{2}) = 3 - \sqrt{{(2 x)}^{2}}$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$f (4 x^{2}) = 3 - (2 x)$

Step 3

Multiply $2$ by $- 1$ .

$f (4 x^{2}) = 3 - 2 x$

Step 4