An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y
with the function f(x). y - 4x2 = 5 - x f(x) = -4x2 + x - 5 f(x) = 4x2 + x + 5 f(x) = -4x2 - x + 5
f(x) = 4x2 - x + 5 3x - 6y = 2 f(x) = 3x - 2 f(x) = 1/2x - 1/3 f(x) = 2x - 2/3 f(x) = 1/2x + 1/3
Solution
1. y-4x 2
=5-x
Lets move the 4x 2
to the other side by adding it. So y=4x 2
-x+5. Now replace y with f(x).
Therefore,
f(x)=4x 2
-x+5
So the answer is D.
2. 3x-6y=2
-6y=2-3x. Now let divide all the terms by -6. y=(-1/3)+(x/2)
So y=(x/2)-(1/3)
So the answer is B.
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