Finding domain help please?

Question

anonymous · Answer

attachment

anonymous · Answer

See if this helps you! 

Given the rational function: f(x)=7x / x^2-16 a. The domain When checking domain look for terms with sqrt and zeros in the denominator which would make function undefined. Since there are no sqrts in given equation, check for zeros in the denominator.

x^2-16=0 (x+4)(x-4)=0 
x=-4 and x=4 
domain:{x|x≠-4, x≠4}, or (-∞,-4) U (-4, 4) U (4, ∞)

michele_laino · Answer

hint:
what is the domain of this function:
$$\large \sqrt x $$

anonymous · Answer

@Michele_Laino Infinity?  So my answer is A?

michele_laino · Answer

the domain of the function:
$$\sqrt x $$
is the set:
$$\left( {0, + \infty } \right)$$
Now, please you have to write the formula of your function g(f(x)), and then you have to use my hint

michele_laino · Answer

more precisely the domain of that function is:
$$[0, + \infty )$$

anonymous · Answer

@Michele_Laino thank you so much

michele_laino · Answer

thank you!