\sqrt{x^{^{\scriptsize\dfrac34}}x^{ -1}}=
x
4
3


x
−1

Step-by-step explanation:

The given expression is  

We want to simplify to the form

We apply the product rule of exponents: under the radical to get:

We simplify the exponent to get:

Recall that:

This implies:

Also,

This implies:

line or a linear equation graph

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

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y

=

−

2

find the upper bound of the range.

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y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: