Answer: Choice A
g(x) = sqrt(2x)
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Explanation:
"sqrt(x)" is shorthand for "square root of x"
f(x) = 3x^2 is given
g( f(x) ) = x*sqrt(6) is also given
One way to find the answer is through trial and error. This would only apply of course if we're given a list of multiple choice answers.
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Let's start with choice A
g(x) = sqrt(2x)
g( f(x) ) = sqrt(2 * f(x) ) .... replace every x with f(x)
g( f(x) ) = sqrt(2 * 3x^2 ) .... plug in f(x) = 3x^2
g( f(x) ) = sqrt(6x^2 )
g( f(x) ) = sqrt(x^2 * 6)
g( f(x) ) = sqrt(x^2)*sqrt(6)
g( f(x) ) = x*sqrt(6)
We found the answer on the first try. So we don't need to check the others.
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But let's try choice B to see one where it doesn't work out
g(x) = sqrt(x + 3)
g( f(x) ) = sqrt( f(x) + 3)
g( f(x) ) = sqrt(3x^2 + 3)
and we can't go any further other than maybe to factor 3x^2+3 into 3(x^2+1), but that doesn't help things much to be able to break up the root into anything useful. We can graph y = x*sqrt(6) and y = sqrt(3x^2 + 3) to see they are two different curves, so there's no way they are equivalent expressions.
Answer:
9/20
Step-by-step explanation:
so you would do 1/4 +1/5 = 5/20 + 4/20 = 9/20
I hope this helps!
Consider all graphs:
1. This is the graph of parabola that represents quadratic function
2. This is the graph of hyperbola that represents function
3. This is the square root's graph that represents function
4. This is the graph of exponential function
Answer: correct choice is D.
Answer: The correct answer is the one on the lower left.
Step-by-step explanation: You are looking for the equation that is five times the quotient of a number and 10.
Since it is five times the quotient, you are looking for an expression that has 5 outside of the parentheses, and a quotient means that there is division taking place. The only option that has 5 outside parentheses with division inside the parentheses is the lower left.