Problem

Find the inverse of the function f(x)=3x2+5

Answer

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Answer

Step 5: Finally, take the square root of both sides to get y=x−53

Steps

Step 1 ：Step 1: Replace f(x) with y, so that the equation becomes y=3x2+5

Step 2 ：Step 2: Swap x and y, so that the equation becomes x=3y2+5

Step 3 ：Step 3: Solve for y. First, subtract 5 from both sides to get x−5=3y2

Step 4 ：Step 4: Then, divide both sides by 3 to get x−53=y2

Step 5 ：Step 5: Finally, take the square root of both sides to get y=x−53

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