If 
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Given that
and 
Let’s for the value of x for which
We need to first find the inverse of
, which is given as 
. The inverse function undoes the original function. In this case, we have
To find
, we swap 
and 
and solve for 
:
Solve for y, which is the inverse of function:
Divide both sides by 4
Thus,
To find
, we substitute g(x) into 
Since
, we set the above equal to 8 and then solve for x
Cross multiplying
Divide both sides by 2
Next, to obtain an expression for gof and determine gof(z), we substitute f(x) into g(x), so we can then determine gof(z).
Obtaining an expression for gof(x)
To determine
, we simply substitute z for x