# alg 2

Given the following functions, perform the indicated operation and state the domain.
f(x) * g(x)
3X^1/2*6X^1/3. I got 18X^5/6. But without using a calculator how do i find the domain?????? Thanks:)

1. 👍
2. 👎
3. 👁
1. If x is negative, then x^(1/2) is imaginary. (by the way x to the one third has two complex roots for negative x)
That kind of restricts the whole deal to positive real x.

1. 👍
2. 👎
2. i don't understand. Can you please explain in simplier terms, thanks:)

1. 👍
2. 👎
3. you can not take the square root of a negative number, so x may not be negative

1. 👍
2. 👎
4. there is no negative number though

1. 👍
2. 👎
5. There is no negative X in the domain, exactly. The domain is all POSITIVE real X

1. 👍
2. 👎

## Similar Questions

1. ### alebra

Let f(x)=2x^2+x-3 and g(x)=x-1. Perform the indicated operation then find the domain. (f*g)(x) a.2x^3-x^2-4x+3; domain:all real numbers b.2x^3+x^2-3x; domain: all real numbers c.2x^3+x^2+4x-3; domain: negative real numbers

2. ### Algebra 2

Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restriction. g(f(x)) 4 x2 + 1 16 x2 + 3 4 x2 + 7 16 x2 - 8 x + 3 Please help. I thinks that it is 16 x2 + 3.

3. ### Algebra

Perform the indicated operation. f(x) = x^2 + 2x g(x) = 2x - 3 Find (f-g)(x)

4. ### calculus

for the given functions f and g, find the following and state the domain of each. f(x)=square root x; g(x)=5x-1 a. (f*g)(x)= ? what is the domain of f*g? b. (f/g)(x)=? what is the domain of f/g? please show work

1. ### Functions

consider the functions g(x)=(4-x^2)^0.5 and h(x)=(x^2)-5. find the composite functions hog(x) and goh(x), if they exist, and state the domain and range of the composite functions. ------------------------------ ok, i have figured

2. ### MATH

for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work

3. ### For the given functions f and g

For the given functions f and g, find the following and state the domain of each result. f(x)=sqrtx;g(x)=5x-9 (a) (f*g)(x)= What is the domain of f*g? (b) f/g(x)=

A.give an example of a function whose domain is {3,4,7,9}? and whose range is {-1,0,3} B.Find two different functions whose domain is {3,8}and whose range is {-4,1} C Explain why there does not exist a function whose domain is

1. ### history

What was the name used for the beach landings at Normandy, France, on June 6, 1944? Operation Avalanche Operation Overlord Operation Barbarossa Operation Market Garden a

2. ### algebra 2

Let f(x)=5x^3-2x and g(x)=3x^3.Preform the operation given and state the domain. A. F(x)+ g(x) B. F(x) - g(x) C. F(x) • g(x) D. F(x) / g(x) E. f(g(x)) F. g (f(x)

3. ### Math

For each of the functions below, state the domain and range, the restrictions, the intervals of increasing and decreasing, the roots, y-intercepts, and vertices. b) f(x)=+squareroot x−2

4. ### algebra

Perform the indicated operation. x/2+y/3-z/4