(a)
\Total number of flowers are .
Let be the number of lilies and
be the number of hydrangea.
.
Total cost of flowers .
Substitute into
Total cost of the flowers .
(b)
\Find the inverse of the function, consider and solve
in terms of
.
Interchange and
.
.
Replace .
The inverse of is
.
represents the number of lilies flowers.
represents the total cost of flowers.
(c)
\Cost function .
Inverse function is .
The total cost of the function always should be positive.
\The domain of the cost function is
.
The range of the cost function is
.
The domain of the inverse function is the range of the function
.
The domain of inverse function is
.
(d)
\The function .
Total cost of flowers is .
Total no.of lillies .
.
(a).
\Total cost of the flowers .
(b).
\The inverse of is
.
represents the number of lilies flowers.
represents the total cost of flowers.
(c).
\The domain of the cost function is
.
The domain of Inverse function is
.
(d).
\Total no.of lillies .