I do not think there are any. If you used -20 and 2, which would be close to 16, the sum would be 18.
Answer:
if they all have the same angle they r congruent
Step-by-step explanation:
The question regards composite functions. A composite function is a function composed of more than one function. Sorry for saying the word function so many times there, it's just what it is...
The phrase f(g(x)) means 'perform g on an input x, then perform f on the result'. You can then see that there are many options for f(x) and g(x) here, in fact an infinite number of one were to be ridiculous about it.
However a sensible choice might be g(x) = x^2, and f(x) = 2/x + 9. Checking:
g(x) = x^2
f(g(x)) = 2/(x^2) + 9
That is the first question dealt with. Next up is Q2. It is relatively simple to show that these functions are inverses. If you start with a value x, apply a function and then apply the function's inverse, you should return to the same starting value x. To take a common example, within a certain domain, sin^-1(sin(x)) = x.
f(g(x)) = (sqrt(3+x))^2 - 3 = 3 + x - 3 = x
g(f(x)) = sqrt(x^2 - 3 + 3) = sqrt(x^2) = x
A final note is that this is only true for a certain domain, that is x <= 0. This is because y = x^2 is a many-to-one function, so unrestricted it does not have an inverse. Take the example to illustrate this:
If x = -2, f(x) = (-2)^2 - 3 = 4 - 3 = 1
Then g(f(x)) =sqrt(1 + 3) = sqrt(4) = 2 (principal value).
However the question isn't testing knowledge of that.
I hope this helps you :)
Answer:
A) what did the student do wrong, explain why they are incorrect
B) Demonstrate and explain the correct way to answer the question.
Lauren says that two expressions 3x+4(2x+5) and 6x +5x +5 are equivalent. Simplify the expressions to determine whether or not Lauren is correct. Substitute a value for x to see if she is right.
<u>3x+8x+20 = 6x+5x+5</u>
<u>11x+20 = 11x+5</u>
<u>She is wrong</u>
Students answer: She is correct because both equal 11x +5. I substituted x=2 and got 27 for both
<u>She is wrong because 27 will be the answer for ' 11x+5' only. The correct method should be </u>
<u>x=-15 </u>
Step-by-step explanation:
Answer:
c) KJ and JH
Step-by-step explanation:
