3 years ago

What is a LCM.

Mathematics

1 answer:

Llana [10]3 years ago

3 0

Answer:

Yes your correct

Step-by-step explanation:

Keep it up!

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Given f(x)=3x+12, find f(f^-1(0))

mamaluj [8]

Answer:

Step-by-step explanation:

METHOD 1.

We know:

$f\bigg(f^{-1}(x)\bigg)=x$

Therefore

$f\bigg(f^{-1}(0)\bigg)=0$

METHOD 2.

$\text{Find}\ f^{-1}(x)$

$f(x)=3x+12\to y=3x+12$

exchange x to y and vice versa:

$x=3y+12$

solve for y:

$3y+12=x$ <em> subtract 12 from both sides</em>

$3y=x-12$ <em>divide both sides by 3</em>

$y=\dfrac{x-12}{3}\to f^{-1}(x)=\dfrac{x-12}{3}$

$f\bigg(f^{-1}(x)\bigg)\to$ replace x in f(x) with the expression $\dfrac{x-12}{3}$

$f\bigg(f^{-1}(x)\bigg)=3\cdot\dfrac{x-12}{3}+12=x-12+12=x$

$f\bigg(f^{-1}(0)\bigg)\to$ put x = 0 to $f\bigg(f^{-1}(x)\bigg)=x$

$f\bigg(f^{-1}(0)\bigg)=0$

METHOD 3.

$\text{Find}\ f^{-1}(x)$

$f^{-1}(x)=\dfrac{x-12}{3}$

Calculate the value of <em>f</em> ⁻¹(x) for x = 0:

$f^{-1}(0)=\dfrac{0-12}{3}=\dfrac{-12}{3}=-4$

Calculate the value of <em>f(x)</em> for x = -4:

$f(4)=3(-4)+12=-12+12=0$

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Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the actual width and length of the ro

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Step-by-step explanation:

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Answer:

I believe the answer is 1)

Step-by-step explanation:

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2 years ago

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If the angle below is 105 degrees and half of a full rotation is 180 degrees you just have to subtract 180 - 105 = 75. So the degrees of x is 75 degrees.

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