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  a)  f(t) = 8000(1.015^t)

Step-by-step explanation:

The growth factor is 1 more than the growth rate. Here, the growth rate is 1.5%, so the growth factor is 1 + 0.015 = 1.015. This is the base of the exponential term. Each year that passes causes the balance to be multiplied by this factor, so the exponent is the number of passing years.

  f(t) = 8000(1.015^t)

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.