We cannot agree with Danika. Why? Well, The reasoning is given as follows:
Two functions are inverses of each other if and only if it is true that the composition function is given by:
Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.
f(x) means the function of x
so the function is the input is x and the output is f(x), read "f of x". The output f(x) is sometimes given an additional name y by y = f(x). The example that comes to mind is the square root function on your calculator.
Answer: 6.403 miles; or, write as: 6.403 mi. .
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Explanation:
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5
--------------------------------------------
` right angle |_ |
` (right triangle ) |
` | 4
` |
`
"c" ` \
(hypotenuse) Starting point
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Since we have a "right triangle, we solve for "c"; using the
"Pythagorean theorem" ;
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→ a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
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Given : a = 4; b = 5 ;
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Plug these known values into our equation:
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→ 4² + 5² = c² ;
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→ 16 + 25 = c² ; ↔ c² = 16 + 25 ;
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→ c² = 41 ;
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→ Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative";
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→ √(c²) = √(41) ;
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→ c = √41 ; Use calculator;
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→ c = 6.40312423743 ; Round to:
→ c = 6.403 miles; or, 6.403 mi.
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2. 1/3 + 1/3 = 2/3
2/6 + 2/6 = 4/6 = 2/3
1/3 + 2/6 = 2/3
3. 3/6 - 2/6 = 1/6 2/2 - 1/2 = 1/2
2/3 - 1/6 = 1/2 5/6 - 1/2 = 1/3
Answer:
35, 48 63 80 99
Step-by-step explanation:
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