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3 years ago

HELP! Match the range of the function f(x)=x^2+2x-1 to its domain

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

4 0

If f(x)=x^2 +2x -1
a) 2=x^2+2x-1
0=x^2+2x-3
0=(x+3)(x-1) x=-3 or 1

b) 14=x^2+2x-1
0=x^2+2x-15
0=(x+5)(x-3) x=-5 or 3

c) 7=x^2+2x-1
0=x^2+2x-8
0=(x+4)(x-2) x=-4 or 2

d) -1=x^2+2x-1
0=x^2+2x+0
0=(x+2)x x=0 or -2

Since this function involves a quadratic equation, there are technically two possible inputs that will give you the same output. In your case, you just have to match one of the possible inputs to its output (the numbers on the left originally given, from what it seems.) Hope this helps

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3 years ago

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Answer:

Step-by-step explanation:

4:1:1, from the ratio, you know that there are 6 in total (4+1+1)

so set up a proportion

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3 years ago

The bottoms of two vertical poles are 12 feet apart and are on a region of flat ground. One pole is 6 feet tall and the other is

snow_tiger [21]

Answer:

The length of the wire is 15 ft.

Step-by-step explanation:

The solution of this exercise comes from an application of the Pythagorean theorem. The explanation here is complemented with the figure attached.

In the figure the segments AB and CD represents the vertical poles, where the length of AB is 6 ft and the length of CD is 15 ft. We want to find the length of the segment BD, that represents the stretched wire. The length of the segment AC is 12 ft, which is the distance between the poles.

If we draw an imaginary line from A perpendicular to DC, we obtain a rectangle ABEC, and a right triangle BED. Then, the length of BE is 12 ft. Moreover, the length of CE is 6 ft, because is equal to the length of AB. Hence, the length of DE is 9 ft, because DE = DC-EC.

As we want to find the length of the hypotenuse BD of the right triangle BED, and we already have the lengths of the other two sides, we only need to apply the Pythagorean theorem. This is

$BD^2 = BE^2 + ED^2 = 12^2+9^2= 144+81=225.$

Then, taking square roots in both sides: BD=15 ft.

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Brums [2.3K]

Answer:

Step-by-step explanation:

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