(7).Given f(x) =
and g(x)=
where x & R.

Find the ;
(i). inverse of g(x) (ii). Expression

iii). Largest domain of f(x) and g(x) respectively.​

The inverse of g(x) is

The domain of g(x) is (-∞,-2)U(-2,∞)

The domain of f(x) is (-∞,-1)U(-1,1)U(1,∞)

Step-by-step explanation:

Find the inverse of g(x).

Solve for x

Find the domain of g(x)

Numerator and denominator have domain

(-∞,∞).

However, g(x) is undefined if the denominator is 0.  Hence, x=-2 must be taken out of the domain. So, the domain of g(x) is

(-∞,-2)U(-2,∞).

Find the domain of f(x)

The numerator and denominator have the domain

(-∞,∞)

However, f(x) is undefined if the denominator is 0.  This rules out +1 and -1. So, the domain of f(x) is

(-∞,-1)U(-1,1)U(1,∞)

I am not sure what you mean for (ii).

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.