3 years ago

Name a coordinate point located in quadrant 4

Mathematics

2 answers:

Akimi4 [234]3 years ago

7 0

(2, -2). The quadrants are numbered for every graph. Hope that's helpful.

sergiy2304 [10]3 years ago

3 0

A point in quadrant 4 could be (-4,-2)<span />

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

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Therefore, the correct option is C.

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