Answer:
<em>f(g(2))=7</em>
Step-by-step explanation:
<u>The Composite Function</u>
Given f(x) and g(x) as real functions, the composite function is defined as:
It can be found by substituting g into f.
The given functions are:
It's required to find f( g( 2 ) )
Find g(2):
Operating:
g(2)=1
Now find f(1):
Thus:
f( g( 2 ) )=7
Answer:
B - 150 yd
Step-by-step explanation:
Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; <em>a² + b² = c².</em>
In this case, let's label the the missing side A, the height B, and the hypotenuse C.
<em>X² + 15² = 25²</em>
Then you must figure out what 15² and 25².
<em>15² = 225</em>
<em>25² = 625</em>
The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².
<em>625 - 225 = 400. </em>
Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.
<em>√400 = 20.</em>
<u>The missing length of the triangle is 20 yards. </u>
Now it's just a matter of finding the area by using the formula;
<em>A = </em>
Or,
<em>(20 × 15) ÷ 2 = 150.</em>
<u>And there's your answer. Don't forget to add the units.</u>
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<h2>Hope this helped.</h2>