**1-**A function is defined by g(x)=x(power to 3) +a, where

*a*is a constant.

When g(x) is divided by x-3, the remainder is 36. Find

*a*, and hence solve

g(-2x)=-18.

**2-**f(x)=x(squared)-1

*and*g(x)=2x+7

The function

*h*is such that whenever

f(a)=b, and g(b)=c, then h(a)=c.

**(a)**If b=8, find values for

*a*&

*c*.

**(b)**Find a formula for

*h-1 (x)*, the inverse of

*h(x)*in terms of

*x*.