Question

Consider the following functions.

f(x)=3sqrtx and g(x) = sqrtx-1
√
x
and g(x)=
√
x−1

Find the formula for (f+g)(x) and simplify your answer. Then find the domain for (f+g)(x). Round your answer to two decimal places, if necessar

Answer 1

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

Answer 2

(f+g)(x) =

Domain =

Answer 3

@vocaloid

Answer 4

it's asking to add the two functions so you can just add

f(x) + g(x) to get
\[f(x)+g(x)=\sqrt[3]{x}+\sqrt{x-1}\]

these are two different types of roots (one's a square root one's a cube root) so you can't really simplify further than this

as for domain, the cube root has no limitations, but remember that the square root must be 0 or greater

Answer 5

Domain : [1, ∞)

Answer 6

good

Answer 7

i couldn't find the solution at first