QuestionYou are choosing between two plans at a discount warehouse. Plan A offers an annual membership of $\$ 90$ and you pay $40 \%$ of the manufacturer's recommended list price. Plan B offers an annual membership fee of $\$ 40$ and you pay $60 \%$ of the mánufacturer's list price. a. Express the total yearly amount paid to the warehouse under plan $A, f$, as a function of the dollars of merchandise purchased during the year, $x$. $f(x)=90+0.40 x$ (Use integers or decimals for any numbers in the expression.) b. Express the total yearly amount paid to the warehouse under plan B, $g$, as a function of the dollars of merchandise purchased during the year, $x$. $g(x)=$ $\square$ (Use integers or decimals for any numbers in the expression.)