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3 years ago

Which equation is the inverse of y = x2 – 36?

2 answers:

4 0

We find the inverse of equation y=x2-36 by solving for y and replace with variable x. Solving this, we transpose -36 to opposite side. Equation will now be y+36=x2, then we get the square root of y+36. We now have the missing inverse equation which is f−1(x)= sqrt (y+36), - sqrt (y+36).

sleet_krkn [62]3 years ago

4 0

Answer: Option B

Answer:

The given equation of the curve is

y= x² - 36

To find it's inverse we have to convert y in terms of x.

So, adding 36 to both sides of equation

→ y + 36=x² -36 + 36

→ y + 36 = x²

→ x² = y+ 36

→ x =

Now, to find inverse you can replace x by y, so by replacing x by y, the above equation becomes

y =

Option B is correct.

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frutty [35]

QUESTION 1

The given functions are;

$f(x)=5x^2-2x$ and $g(x)=5x^2+x-4$

$(f+g)(x)=f(x)+g(x)$

$(f+g)(x)=5x^2-2x+3x^2+x-4$

We regroup like terms to obtain;

$(f+g)(x)=5x^2+3x^2-2x+x-4$

This simplifies to;

$(f+g)(x)=8x^2-x-4$

The correct answer is A.

QUESTION 2

The given functions are;

$f(x)=3x^2+5$ and $g(x)=x-2$ .

$(fg)(x)=(f(x))(g(x))$

This implies that;

$(fg)(x)=(3x^2+5)(x-2)$

$\Rightarrow (fg)(x)=3x^3-6x^2+5x-10$

The correct answer is B.

QUESTION 3

The given functions are

$f(x)=3x^2+10x-8$ and $g(x)=3x^2-2x$ .

$(\frac{f}{g})(x)=\frac{f(x)}{g(x)}$

$(\frac{f}{g})(x)=\frac{3x^2+10x-8}{3x^2-2x},x\ne0,\frac{2}{3}$

We factor to obtain;

$(\frac{f}{g})(x)=\frac{(x+4)(3x-2)}{x(3x-2)},x\ne0,\frac{2}{3}$

We cancel the common factors to obtain;

$(\frac{f}{g})(x)=\frac{x+4}{x},x\ne0,\frac{2}{3}$

The correct answer is A.

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3 years ago

Brainliest to correct quickly please

nadya68 [22]

Answer:

-8 1/10, 0.2, 8 4/20

Step-by-step explanation:

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Alchen [17]

Answer:

Step-by-step explanation:

Fraction of fish ate on first day = 2/6

fraction of fish ate on second day = 2/4

In case of comparison of rational numbers if the numerators of two rational numbers is same and the denominators are different, then the number having larger denominator is less than the number having smaller denominator.

So, the number 2/6 < 2/4

So, the fraction of fish ate on the first day is less than the amount of fish ate on te second day.

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Marysya12 [62]

Answer:

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Step-by-step explanation:

2x + 3 = 13 x=5

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daser333 [38]

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