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2 years ago

Consider the following number line

Mathematics

1 answer:

Sati [7]2 years ago

8 0

<u>Answer:</u>

<h2><u>-2.25</u></h2><h3><u>Step-by-step explanation:</u></h3>

Lets start with D:

It says, 0.43 but we're on the OPPOSITE of 0, so it can't be a positive number.

Same goes for C.

Now we are on to our last two.

B, is -2.5 and A, is -0.8

So, now we look at the point <em>B </em>and <em>assume</em>, because it says Select a reasonable value for Point B.

To me, point <em>B </em>looks to be about around -2.0

So, the <em>reasonable value </em>for this problem would be -2.25

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3 years ago

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3 years ago

Read 2 more answers

For the function f (x) = 3 (x + 7), find -1().

AlekseyPX

Given:

The function is $f(x)=3(x+7)^{\frac{1}{4}}$ .

To find:

The function $f^{-1}(x)$ .

Solution:

We have,

$f(x)=3(x+7)^{\frac{1}{4}}$

Substitute f(x)=y.

$y=3(x+7)^{\frac{1}{4}}$

Interchange x and y.

$x=3(y+7)^{\frac{1}{4}}$

Divide both sides by 3.

$\dfrac{x}{3}=(y+7)^{\frac{1}{4}}$

Taking power 4 on both sides.

$\left(\dfrac{x}{3}\right)^4=y+7$

Subtract 7 from both sides.

$\left(\dfrac{x}{3}\right)^4-7=y$

$y=\left(\dfrac{x}{3}\right)^4-7$

Substitute $y=f^{-1}(x)$ .

$f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7$

Therefore, the correct option is C.

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2 years ago