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3 years ago

What is the inverse of the following function?

Mathematics

1 answer:

andrew-mc [135]3 years ago

7 0

Answer:

The inverse of this function would be h(x) = x^5 + 4

Step-by-step explanation:

In order to find the inverse, start by switching the h(x) and the x values. Once you've done that, solve for the new h(x). That will be your inverse.

h(x) = $\sqrt[5]{x - 4}$

x = $\sqrt[5]{h(x) - 4}$

x^5 = h(x) - 4

x^5 + 4 = h(x)

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3 years ago

PLEASE HURRY :,) WILL GIVE BRAINLEST

Vlad1618 [11]

Answer:

Point R is at (-40,30), a distance of 60 units from point Q

Step-by-step explanation:

Explanation

we will use below conditions

Type of transformation change to co-ordinate point

vertical translation up 'd' units (x, y) changes to (x, y +d)
vertical translation down 'd' units (x, y) changes to (x, y-d)
horizontal translation left 'c' units (x, y) changes to (x- c, y)

4. horizontal translation right 'c' units (x, y) changes to (x+ c , y)

now Given data is P( 20,-30) and in the graph Q(-40,-30)

Step1:-

Now we have to find 'R' point

Given data the point "R' is vertically above point Q so the point "Q' is moves vertically up with '60' units

now we will use the condition (1)

Q(-40,-30) is vertical translation up '60' units now changes the co-ordinate point is (-40 , -30+60)

The correct translation and The point R( -40 , 30)

Step2:-

Again in the given data "R" is at the same distance from point Q as point P is from point Q.

so given P point is (20 , -30)

now we translation 'P' also

vertically translation up at a distance '60' units and changes the new co-ordinate (20 , -30+60) that is (20,30) [ use above condition is (1)]

and again horizontal translation left '60' now changes (20 - 60 ,30)[ use condition (3)]

There fore the new co-ordinate is R( -40 , 30)

Final answer:-

Point R is at (−40, 30), a distance of 60 units from point Q

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3 years ago

What is the domain of h?

Alexandra [31]

Answer:

{-2, -1, 1, 5, 6}

Step-by-step explanation:

The domain includes the five x-values (inputs): {-2, -1, 1, 5, 6}

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3 years ago

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LenKa [72]

Answer:

Yes

Step-by-step explanation:

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2 years ago

Find the solution set of the inequality −4x+35>2

vodomira [7]

Answer:

x < 37/4

Step-by-step explanation:

−4x+35>2

Subtract 35 from each side

−4x+35-35>2-35

-4x > -37

Divide each side by -4. remembering to flip the inequality

-4x/-4 < -37/-4

x < 37/4

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3 years ago