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nevsk [136]
3 years ago
7

Determine the domain of the function. f as a function of x is equal to the square root of x plus one divided by x plus four time

s x minus six.
Mathematics
1 answer:
harina [27]3 years ago
4 0

Answer:

a)  

Step-by-step explanation:

We have been given a function . We are asked to find the domain of our given function.

We can see that our given function is a rational function and numerator of our given function is a square root.

To find the domain of our given function, we will find the number that will make our denominator 0 and the domain of square root function will be the values of x that will make our numerator non-negative.

Undefined points for our given function:

The domain of denominator is all values of x, where x is not equal to negative 4 and positive 6.

Non negative values for radical:

The domain of numerator is all value of x greater than or equal to negative

Upon combining real regions and undefined points for our given function, the domain of our given function will be all values of x greater than or equal to negative 1, where x is not defined for 6.

Therefore, domain of our given function is .

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