Determine the domain of the function. f as a function of x is equal to the square root of seven plus x. x ≥ 0 all real numbers x ≥ -7 x > 0

Option C,  x ≥ -7

Step-by-step explanation:

The given function is f(x) =

Then we have to find the domain of the given function

The given function is defined only when ( x+7 ) ≥ 0

or ( x + 7 ) - 7 ≥ 0 - 7

x ≥ ( -7 )

Therefore, domain of the function will be x ≥ -7

Option C is the answer.

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step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for