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SSSSS [86.1K]
3 years ago
8

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1, find (f+g)(x)

Mathematics
2 answers:
GrogVix [38]3 years ago
5 0

The answer is 2x²+2x-2

kirill [66]3 years ago
3 0

Answer:

(f+g)(x)= 2x²+2x-2

Step-by-step explanation:

-x²+6x-1+3x²-4x-1 can be found by combining like terms.

2x²+2x-2

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Find the inverse function for
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now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.

that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse.  Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.

notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.

recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.

6 0
3 years ago
Write an equation that passes through a pair of points
Phoenix [80]

Answer:

C. y = -x + 2

Step-by-step explanation:

First, find the slope, m, of the line that passes through the two given points.

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Next, determine the y-intercept, b.

The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.

Now, to get an equation of the line, substitute m = -1, and b = 2 in y = mx + b.

✅The equation would be:

y = -1x + 2

y = -x + 2

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Step-by-step explanation:

just think it through. it can only be the first option. the sides 7 and 4 are together 11, and they can only meet, when putting them flat on the 11 side. but yes, if you do that, they will meet, as 11 = 11.

the result would be an extreme triangle : appearing just as one, flat line (length 11), the angles being 180°, 0° and 0°.

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2 years ago
56 is 4% of how many days
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