When working overtime, an auto mechanic gets paid 1.5 times the normal hourly wage. Overtime is the amount of time worked beyond
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Answer: Choice D
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Explanation:
First we replace f(x) with y. This is because both y and f(x) are outputs of a function.
To find the inverse, we swap x and y and solve for y like so
Note: because the range of the original function is , this means the domain of the inverse is
. The domain and range swap roles because of the swap of x and y.
As the graph shows below, the original and its inverse are symmetrical about the mirror line y = x. One curve is the mirror image of the other over this dashed line.
