exam Maths Puzzle Numerical Ability

I need to find the inverse of f(x)=(1/3)2^x-2
Can I write this out as y=(1/3)2^x-2 ?
Then can I switch out x and y so x=(1/3)2^y-2 then multiply both sides by 3 so that 3y=2^x-2.

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How do you graph the linear equation: x - 7 = 3y simplify and combine like radicales

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