Find f (x) if it is known that f (x-5) = 1.2x-6.

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f (x) = 1.2x

Step-by-step explanation:

Given:

f (x - 5) = 1.2x - 6

Required:

Find f (x)

To solve f (x), we have to express f (x - 5) in terms of f (x).

This is done as follows

f (x - 5) = 1.2x - 6

Factorize the expression at the right hand side

f (x - 5) = 1.2 (x - 5)

Now we can solve for f (x) by substituting x for x - 5 in the above expression (on the right hand side and the left hand side)

f (x) = 1.2x

Hence, if f (x - 5) = 1.2x - 6 then f (x) = 1.2x