Rearrange y = √( (x/2) + 1 ) to make x the subject.

We are asked to rearrange the formula y = √( (x/2) + 1 ) to make x the subject. This means we need to perform a series of inverse operations to get x by itself. Original formula: y = √( (x/2) + 1 ) Step 1: Eliminate the square root. The inverse operation of taking a square root is squaring. We must square both sides of the equation. y² = (√( (x/2) + 1 ))² y² = (x/2) + 1 Step 2: Isolate the term with x. The term with x is being added to 1. The inverse is to subtract 1 from both sides. y² - 1 = (x/2) + 1 - 1 y² - 1 = x/2 Step 3: Isolate x. x is being divided by 2. The inverse is to multiply by 2 on both sides. 2 * (y² - 1) = (x/2) * 2 2(y² - 1) = x So, the final rearranged formula is x = 2(y² - 1). This can also be written as x = 2y² - 2.