If f(x)=X-3/x and g(x) = 5x – 4, what is the domain of (fog)(x)? NEED HELP FAST!!
1 answer:
Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to
The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}
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She sold 42 oranges with profit 20%
Step-by-step explanation:
The woman sells 90 oranges by RS.160
This price with discount of 20%
We need to find how many oranges she sell by Rs.112 with profit of 20%
- Selling price = cost price - discount ⇒ discount case
- Selling price = cost price + profit ⇒ profit case
Assume that cost price of an orange is x
∵ She sells 90 oranges with Rs.160
- Find the selling price of 1 orange by dividing 160 by 90
∴ The selling price of an orange =
∵ She sold them with discount 20%
∵ The cost price of an orange is x
- Find the 20% of x
∵ Discount = 20% × x = × x = 0.2x
- To find the selling price subtract 0.2x from x
∴ The selling price = x - 0.2x
∴ The selling price of an orange = 0.8x
- Equate 0.8x by to find x
∵ 0.8x =
- Divide both sides by 0.8
∴ x =
Assume that the number of oranges is y
∵ She sell y oranges for Rs.112 with profit 20%
∵ The cost price of an orange is
- Find 20% of
∵ Profit = 20% × =
- Add to cost price to find the selling price
∴ The selling price of an orange = +
∴ The selling price of an orange =
- To find y divide 112 by selling price of an orange
∵ y = 112 ÷
∴ y = 42
She sold 42 oranges with profit 20%
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