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

+7x
−
4
1
​

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

+12x
−
4
1
​

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

+6x
4
1
​

−14x
−4

Complete the following: g(x)-h(x)g(x)−h(x)

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

+6x
−
4
1
​

−12x
−
4
1
​

−12x
−
2
1
​

+14x
−4

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

−6x
−
4
1
​

+12x
−
4
1
​

−12x
−
2
1
​

+14x
−4

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

−6x
4
1
​

+12x
−
4
1
​

−12x
−
2
1
​

+14x
−4

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

−6x
−
4
1
​

+12x
−
4
1
​

−12x
−
2
1
​

−14x

−4