SOLUTION: given the functions f(x) = 1-3x^2 and g(x) = sqrtx-1, find the functions (f+g) , (f-g), (f*g), (f/g) and their corresponding domains.

Algebra ->  Functions -> SOLUTION: given the functions f(x) = 1-3x^2 and g(x) = sqrtx-1, find the functions (f+g) , (f-g), (f*g), (f/g) and their corresponding domains.      Log On


   

Question 1118872: given the functions f(x) = 1-3x^2 and g(x) = sqrtx-1, find the functions (f+g) , (f-g), (f*g), (f/g) and their corresponding domains.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) is how?
sqrt%28x%29-1 or sqrt%28x-1%29 ?


LATER: You wanted g%28x%29=highlight_green%28sqrt%28x-1%29%29.

I will do only one of the four examples.
f%2Ag=f%28x%29%2Ag%28x%29
%281-3x%5E2%29sqrt%28x-1%29
and you might leave the function in this form, or 'simplify' to sqrt%28x-1%29-3x%5E2%2Asqrt%28x-1%29.

DOMAIN: Obviously if real numbers, the factor needs to be such that x-1 is NOT negative; so x%3E=1 is the domain.