subject
Mathematics, 19.09.2021 01:00 pickelswolf5938

Given the following: f(x)=3x^\frac12+7x^{-\frac14}+8x^{- 4};\;f(x)=3x 2
1
​

+7x
βˆ’
4
1
​

+8x
βˆ’4
; g(x)=-\frac74x^\frac12+12x^{-\frac1 4}-21x^3;\;and\;g(x)=βˆ’
4
7
​
x
2
1
​

+12x
βˆ’
4
1
​

βˆ’21x
3
;and h(x)=8x^3+12x^{-\frac12}+6x^\frac14 -14x^{-4}h(x)=8x
3
+12x
βˆ’
2
1
​

+6x
4
1
​

βˆ’14x
βˆ’4

Complete the following: g(x)-h(x)g(x)βˆ’h(x)

-29x^3-\frac74x^\frac12+6x^{-\frac1 4}-12x^{-\frac14}\;-12x^{-\frac12}+ 14x^{-4}βˆ’29x
3
βˆ’
4
7
​
x
2
1
​

+6x
βˆ’
4
1
​

βˆ’12x
βˆ’
4
1
​

βˆ’12x
βˆ’
2
1
​

+14x
βˆ’4

29x^3-\frac74x^\frac12-6x^{-\frac14 }+12x^{-\frac14}\;-12x^{-\frac12}+1 4x^{-4}29x
3
βˆ’
4
7
​
x
2
1
​

βˆ’6x
βˆ’
4
1
​

+12x
βˆ’
4
1
​

βˆ’12x
βˆ’
2
1
​

+14x
βˆ’4

-29x^3-\frac74x^\frac12-6x^\frac14+ 12x^{-\frac14}\;-12x^{-\frac12}+14x ^{-4}βˆ’29x
3
βˆ’
4
7
​
x
2
1
​

βˆ’6x
4
1
​

+12x
βˆ’
4
1
​

βˆ’12x
βˆ’
2
1
​

+14x
βˆ’4

-29x^3-\frac74x^\frac12-6x^{-\frac1 4}+12x^{-\frac14}\;-12x^{-\frac12}- 14x^{-4}βˆ’29x
3
βˆ’
4
7
​
x
2
1
​

βˆ’6x
βˆ’
4
1
​

+12x
βˆ’
4
1
​

βˆ’12x
βˆ’
2
1
​

βˆ’14x

βˆ’4

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Answers: 1

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Given the following: f(x)=3x^\frac12+7x^{-\frac14}+8x^{- 4};\;f(x)=3x 2
1
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