Question

consider the following relation. \\(3x^2 + 2x = -2x + 4y\\) step 1 of 3: rewrite the relation as a function of \\(x\\). answer \\(f(x) = \square\\)

Explanation:

Step1: Isolate the y-term

$3x^2 + 2x + 2x = 4y$

Step2: Combine like terms

$3x^2 + 4x = 4y$

Step3: Solve for y (divide by 4)

$y = \frac{3x^2 + 4x}{4}$

Step4: Rewrite as f(x)

$f(x) = \frac{3}{4}x^2 + x$

Answer:

$\frac{3}{4}x^2 + x$