<h2><u>Answer :</u></h2>
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<h2><u>Calculation</u><u> </u><u>:</u></h2>
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Since (f/g)(x) = f(x)/g(x) for x to be in the domain of (f/g)(x) it must be in the domain of f and in the domain of g. You also need to insure that g(x) is not zero since f(x) is divided by g(x). Thus there are 3 conditions. x must be in the domain of f: f(x) = 3x -5 and all real numbers x are in the domain of x.
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find ( f o f )(x).
( f o f )(x) = f ( f (x))
= f (2x + 3)
= 2( ) + 3 ... setting up to insert the input
= 2(2x + 3) + 3
= 4x + 6 + 3
= 4x + 9
Given f(x) = 2x + 3 and g(x) = –x2 + 5, find (g o g)(x).
(g o g)(x) = g(g(x))
= –( )2 + 5 ... setting up to insert the input
= –(–x2 + 5)2 + 5
= –(x4 – 10x2 + 25) + 5
= –x4 + 10x2 – 25 + 5
= –x4 + 10x2 – 20
Answer:
216 min
3 hours and 36 min or 3.6 hours
Step-by-step explanation:
1/9+1/6
6+9/54
15/54
5/18
18/5
60*18/5
1080/5
/= fraction sign
3.6 hours
Step-by-step explanation:
Blake can do work in hours = 9
Blake can do a part of work in 1 hour = 1/9
Ned can paint the same room in six hours.
Ned can do a part of work in 1 hour = 1/6
They can do a part of work together in 1 hour = 1/9+1/6
= 5/18
Now they can do 5/18} part of work in hour = 1
So, they can do whole work in hours = 1/5/18
= 3.6
Hence it will take 3.6 hours to paint the room if they work together.
Answer:
The exponent "product rule" tells us that, when multiplying two powers that have the same base you can add the exponents in this example you can see how it works. Adding the exponents Is just a short cut! the "power rule" tells us that raise power to a power, just multiply the exponents
Answer:
-2
Step-by-step explanation:
We want to evaluate;
We use the reciprocals of trigonometric ratios to obtain;
The 960 degree angle makes an angle of 60 degree with the positive direction of the x-axis and it is in the 3rd quadrant.
This implies that;
We use special trigonometric ratios to obtain;
