The functions f(x) and g(x) are defined below.
2 answers:
<h3>Answer:</h3>
none of the above
<h3>Step-by-step explanation:</h3>This question wants you to see that the radical can be simplified because it is ...
The answer choices show you are expected to simplify this to ...
... f(x) = x +6
Then
... f(x)·g(x) = (x+6)(x³ -12) = x⁴ +6x³ -12x -72 . . . . . matches choice C
_____
However,
... f(x) = |x+6| . . . . . . . √(x^2) = |x|, the positive root regardless of sign of x
so the product f(x)·g(x) only matches selection C for x≥ -6. It matches the opposite of selection C for x ≤ -6.
The attached graph shows this. It graphs f(x), g(x), f(x)·g(x) (as a purple curve), and selection C (as orange dots).
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The slope-intercept form is as follows:
y = mx + b
"m" is the slope, and "b" is the y-intercept. The y-intercept for this equation is (0,b).
Our equation is
That means that
is the slope, and -3 is the y-intercept.
The slope-intercept form is as follows:
y = mx + b
"m" is the slope, and "b" is the y-intercept. The y-intercept for this equation is (0,b).
Our equation is
That means that