Question

what did i do wrong

Answer 1

?

Answer 2

number 2

Answer 3

\(y=2+\sqrt{5+7x}\)

Solve for \(x\)

Subtract \(2\) from both sides
Square both sides
Subtract \(5\) from both sides
Divide both sides by \(7\)

Now switch the \(x\) and \(y\).

Answer 4

Reid19: a related, but slightly different approach, would be as follows:

Starting with f(x)=y=2+Sqrt (5+7x),

1. Drop the f(x) label,
2. Interchange x and y: x=2+Sqrt(5+7y)
3. Solve for y
4. Replace that y with \[f ^{-1}(x)\]

Answer 5

Can you work through the steps of solving x=2+Sqrt(5+7y) for y? If so, please share your work here.