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a_sh-v [17]
3 years ago
14

Which function below is the inverse of f(x)=x^2-36

Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer:

+- square root of x+36

Step-by-step explanation:

f(x) = x^2 -36

y = x^2 -36

Exchange x and y

x = y^2 -36

Solve for y

Add 36 to each side

x+36 = y^2 -36+36

x+36 = y^2

Take the square root of each side

±sqrt(x+36) = y

±sqrt(x+36) = f^-1(x)

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Tony is 21 years older than his sister Danielle. In 13 years he will be twice as old as Danielle. How old is each of them now?
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x-y=21 ⇒ x=y+21

x+13=2y

Substitute y+21 for x into the equation x+13=2y

So y+21+13=2y

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So Danielle is 34 years old. Plug y back in to the original equation

x-34=21

x=55

Tony is 55 years old


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Arturiano [62]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

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