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Function Operations
100

Simplify

((6^(1/5))/(6^(2/5)))^3

1/(root(5)6)^3

100

Solve the following and check the x values.

4root(3)(2x+1)=20


x=62

100

Let 

f(x)=-5root(4)x 

g(x)=19root(4)x

Find 

(f+g)(x)

(f+g)(x)=14root(4)x

200

Simplify

root(4)32*root(4)8

4

200

Solve the following and check the x values.

root(3)(2x-5)-root(3)(8x+1)=0

x=-1

200

Let 

f(x)=-5root(4)x 

g(x)=19root(4)x

Find 

(f-g)(x)

(f-g)(x)=-24root(4)x

300

Simplify 

4root(5)8+3root(5)8

7root(5)8

300

Solve the following and check the x values.

sqrt(44-2x)=x-10

x=14

300

Let 

f(x)=x^4

g(x)=3sqrt(x)

Find 

(f*g)(x)

(f*g)(x)=3(sqrtx)^9

400

Simplify

1/(2-root(4)9)

2+sqrt(3)

400

Solve the following and check the x values.

sqrt(x+2)=2-sqrt(x)

x=1/4

400

Let 

f(x)=x^4

g(x)=3sqrt(x)

Find 

(f/g)(x)

(f/g)(x)=(sqrt(x))^7/(3)

500

Simplify

2sqrt(48)-sqrt(3)

7sqrt(3)

500

Solve the following and check the x values.

sqrt(3x-3)-sqrt(x+12)=0

15/2

500

Let 

f(x)=7(sqrtx)^3

g(x)=-14x^(1/3)

Find 

(f/g)(x)

(f/g)(x)=(11(root(3)x)^2)/7