Astore offers a discount of 30% on a game. there is a sales tax of 6%. if "t" is the total price with tax, then t(x) = 1.06 x. if "d" is the price after discount, then d(x) = 0.70 x. which of the following represents the discount being taken before the sales tax is applied?
a) d(t(x))
b) t(x) / d(x)
c) t(x)
d) d(x)
e) d(x) / t(x)
f) t(d(x))

The correct option would be F) T(D(x))

Step-by-step explanation:

Suppose x represents the original price of the game,

After getting 30% discount,

New price of game = x - 30% of x

= x - 0.30x

= 0.70x

Now, if there is a tax of 6%,

Then the final price of the game = 0.70x + 6% of 0.70x

= 0.70x + 0.06(0.70x)

= (1+0.06)(0.70x)

= 1.06(0.70x)

= T(0.70x)            ( ∵ T(x) = 1.06x )

= T(D(x))              ( ∵ D(x) = 0.70x )

Hence, OPTION F represents the discount being taken before the sales tax is applied.

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

step-by-step explanation: 2