Until now, given a function <span>f(x)</span>, you would plug a number or another variable in for x. You could even get fancy and plug in an entire expression for x. For example, given <span>f(x) = 2x + 3</span>, you could find <span>f(y2 – 1)</span> by plugging<span> y2 – 1</span> in for x to get <span>f(y2 – 1) = 2(y2 – 1) + 3 = 2y2 – 2 + 3 = 2y2 + 1</span>.
In function composition, you're plugging entire functions in for the x. In other words, you're always getting "fancy". But let's start simple. Instead of dealing with functions as formulas, let's deal with functions as sets of<span> (x, y)</span><span> points </span>
<span>Hope this awnsers your question</span>
<span>
</span>
<span />
Step-by-step explanation:
Hey, there!!
C = {6,8}
n(C) means cardinality of set.
We define cardinality of set as the no. of elements present in set.
It contains 2 no. of elements.
so, its cardinality is n(C) is 2.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
1) Word Problem
Sally has $2 and her mother gave her $10 to buy something from the store. Sally spent $7 at the store. How much money does Sally have now?
Expression
(2 + 10) - 7
2) Word Problem
Bob has 5 friends and each of them gave Bob 2 cookies. Bob originally had 2 of his own cookies. After collecting all of the cookies Bob split them evenly among him and his friends. How many cookies does each person have?
Expression
(5 x 2 + 2) ÷ 6
Here is my process for solving this.
First I drew arrows that indicated I was moving the whole triangle 5 units to the left.
*Look at first attachment*
Then I drew another triangle using those new points. (The new triangle is in pink)
*Look at second attachment*
Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)
*Look at third attachment*
Then I drew the new triangle in blue using the new points.
*Look at fourth attachment*
Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.
*Look at fifth attachment*
The fifth attachment in green is the final product! Hope that helps.
Answer:
1 1/4 hours
Step-by-step explanation:
.75/.6=x/1
cross multiply
.75=.6x
divide by .6
x=1.25 hours