Answer:
Step-by-step explanation:
<u>Composite Function</u>
Suppose f(x) and g(x) are real functions, the composite function named 
is defined as:
The composite function can be found by substituting g into f.
We are given these functions:
Find:
a) h(g(x))
Substituting g into h:
b) h(g(f(x))
First we find g(f(x)):
Operating:
Simplifying:
Now find h(g(f(x)) replacing the above equation into h:
Simplifying and rearranging:
Answer: THE ANSWER IS D. Everything else is negative.
Step-by-step explanation:
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Answer:
1.40476190476
Step-by-step explanation:
Answer: Kara should have written the proportion in step 1 as;
Start Fraction 12 Over 72 End Fraction = Start Fraction 14 Over x End Fraction (that is 12/72 = 14/x)
Step-by-step explanation: The two similar triangles are given with the following dimensions;
Triangle VXW with side VW = 12 and side VX = 14. Also Triangle ZXY with side YZ = 72 and side XZ = x.
For two triangles to be similar, then there must be a similarity ration that is consistent with all sides in both triangles. This means if in the first triangle a side measures 1 unit and the similar side in the other triangle measures 5 units, then the ratio of similarity of corresponding sides shall be ratio 1 : 5. So for every corresponding side in the second triangle the measurement shall be times five of the side that corresponds in the first triangle.
Therefore, in triangle VXW and triangle ZXY, the corresponding sides are as follows;
VX = ZX
VW = ZY
XW = XY
What Kara did was as follows;
VX/ZY = VW/ZX
Which translates to 14/72 = 12/x
This was a wrong calculation because the side that corresponds to VX is ZX and not ZY.
The correct step should therefore have been;
VW/ZY = VX/ZX
12/72 = 14/x (Step 1)
12x = (72) (14) {Step 2}
x = 1008/12 (Step 3)
x = 84 (Step 4)
