Use the image to answer the question.
Compare the graphs of f(x) = sqaure root x + 1 and g(x) = 3sqaure root + 1. Which of the following options is true?
A. Both functions have the same range, (-oo, oo).
B. Both functions go through the points (-1, 0) and (0,1).
C. Both functions are increasing on their domain.
D. Both functions have the same domain, x > 0.
From the image, we can see that f(x) and g(x) are both increasing on their domain, which means that option C is true.
However, we cannot determine if both functions have the same range from the image, so option A is not necessarily true.
Also, we cannot determine if both functions go through the points (-1, 0) and (0, 1) from the image, so option B is not necessarily true.
Lastly, the domain of f(x) is x ≥ 0, while the domain of g(x) is x > 0, so the functions have different domains. Therefore, option D is not true.
So, the correct answer is C. Both functions are increasing on their domain.