For this case we have the following equations:
We must find 
By definition of composition of functions we have to:
So:
We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.
So, the roots are:
The domain is given by all real numbers except 0 and 3.
Answer:
x other than 0 and 3
Answer:
y = 2
Step-by-step explanation:
x= -1+y
2x-y=0
2(-1+y)-y=0
-2+2y-y=0
-2+y=0
-2+2+y=0+2
y=2
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Answer:
um
Step-by-step explanation:
Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
Answer:
11 2/3
Step-by-step explanation:
2 1/3 * 5
Change the mixed number to an improper fraction
2 /13 = ( 3*2+1)/3 = 7/3
7/3 * 5/1
35/3
Now change it back to a mixed number
3 goes back into 35 11 times with 2 left over
11 2/3
