Answer:
g(x)*f(x)= x^5/2 - 3x^3/2 -18x^1/2
Step-by-step explanation:
Given: f(x) = x - 6 and g(x) = √x (x + 3)
Here we have to multiply g(x) and f(x)
g(x) * f(x) = √x(x + 3) * (x - 6)
= √x (x + 3)(x) - √x(x + 3)6
= x^2 √x + 3√x x - 6x√x - 18√x
Now simplify the like terms, we get [x^1/2 = √x]
g(x)*f(x)= x^5/2 - 3x^3/2 -18x^1/2
Hope this will helpful.
Thank you.
Answer:
[tex]g(x)*f(x)=x^{5/2}-3x^{3/2}-18x^{1/2}[/tex]
Step-by-step explanation:
To solve this prooblem you must multiply the function f(x) by g(x).
Therefore, you obtain the following result:
[tex]g(x)*f(x)=(x^{1/2}(x+3))(x-6)\\g(x)*f(x)=(x^{3/2}+3x^{1/2})(x-6)\\g(x)*f(x)=x^{5/2}-6x^{3/2}+3x^{3/2}-18x^{1/2}\\g(x)*f(x)=x^{5/2}-3x^{3/2}-18x^{1/2}[/tex]
Finally the correct answer is:
[tex]g(x)*f(x)=x^{5/2}-3x^{3/2}-18x^{1/2}[/tex]
