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slavikrds [6]
3 years ago
8

Simplify without negative exponents x^4/x^7

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0

Answer:

1/(x^3)

Step-by-step explanation:

The applicable rule is x^m / x^n = x^(m-n), so here

x^4 / x^7 = x^(4-7) = x^(-3)

next applicable rule, x^(-n) = 1/(x^n) OR (1/x)^n (they are equivalent), so here

x^(-3) = (1/x)^3 OR 1/(x^3), which ever looks better to you and your instructor, likely the second

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kompoz [17]

Given:

The function is

f(x)=4x+9

Domain = {-4, -2, 0, 2}

To find:

The range of the given function for the given domain.

Solution:

We know that domain is the set of input values and range is the set  of output values.

We have, f(x)=4x+9 and domain = {-4, -2, 0, 2}.

Putting x=-4 in the given function, we get

f(-4)=4(-4)+9

f(-4)=-16+9

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Putting x=-2 in the given function, we get

f(-2)=4(-2)+9

f(-2)=-8+9

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Putting x=0 in the given function, we get

f(0)=4(0)+9

f(0)=0+9

f(0)=9

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f(2)=4(2)+9

f(2)=8+9

f(2)=17

The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.

Therefore, the correct option is D.

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