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Algebra
Question

Sale Pricing In the sale room at a clothing store...

Sale Pricing In the sale room at a clothing store, every item is on sale for half the original price, plus \(1\) dollar.

(a) Write a function \(g\) that finds half of \(x\) .

(b) Write a function \(f\) that adds \(1\) to \(x\) .

(c) Write and simplify the function \(( f \circ g ) ( x )\) .

(d) Use the function from part (c) to find the sale price of a shirt at this store that has original price \(\$ 60\) .

Answer

\(\left. \begin{array} { l } { \text { (d) } \$ 9600 \text { 111. (a) } g ( x ) = \frac { 1 } { 2 } x \quad \text { (b) } f ( x ) = x + 1 } \\ { \text { (c) } ( f \circ g ) ( x ) = f ( g ( x ) ) = g ( x ) + 1 = \frac { 1 } { 2 } x + 1 } \\ { \text { (d) } ( f \circ g ) ( 60 ) = \frac { 1 } { 2 } ( 60 ) + 1 = 31 \text { (dollars) } } \end{array} \right.\)

Solution
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