## anonymous one year ago Let f(x)= sqrt of x and g(x)=cubed root of 1-x. Find a formula for g(f(x) and find it's domain

• This Question is Open
1. DanJS

$g(f(x))=\sqrt[3]{1-f(x)} = \sqrt[.3]{1-\sqrt{x}}$

2. dinamix

$\sqrt[3]{1-\sqrt{x}}$@Blairortiz

3. dinamix

lol @DanJS

4. DanJS

hit post at the same time

5. dinamix

yeah

6. DanJS

@Blairortiz Do you know the domain of the square root and the cubed root functions?

7. anonymous

No

8. dinamix

$x ^{1/2} =\sqrt{x}$

9. dinamix

$\sqrt[3]{x}=x ^{3/2}$

10. anonymous

So the domain is x^3/2 and x^1/2?

11. DanJS

$\sqrt x$ For this x has to be greater than or equal to zero, so the domain of f(x) is all x greater than or equal to zero...

12. DanJS

The cubed root function can have any real number as a value of x...

13. DanJS

14. DanJS

So for the g(f(x)), the domain is all x greater than or equal to zero, the red function in the graph