Question

Which function does not have a domain of all real numbers?Select one:I ofestionO a. f(x) = (x - 1O b. f(x) = -73 + 4xO c. f(x) = -|x - 5] + 1O d. f(x) = x+6-1 3х

Answer 1

We need to find which function doesn't have a domain for all real numbers.

for a.

`f(x)=\sqrt[]{x}-1`

When we have a square root " The domain is all values of x results in a radicand that is equal to greater than zero"

So the domain, in this case, is x≥0.

b.

`-x^3+4x`

x can take any real number because we don't have restrictions.

c.

`-\text{ l x-5l +1}`

We have an absolute value but x can be any real number.

d.

`(1)/(2)\sqrt[3]{x+6}`

The cube root can be used for real numbers, so the function can take for x all real numbers.

The only function that doesn't have a domain of all real numbers is option a.