Question

I need the solution.......

Answer 1

Choice B is correct.

Explanation:

We have given two functions:

f(x) = x³

g(x) = 1 - 5x²

We have to find (f o g)(x) = ?

And domain of the given function.

(f o g)(x) = f(g(x))

Putting the values of functions in above equation.

(f o g)(x) = (1-5x²)³ is the answer of given question.

Domain is the set of all possible values of x for which the function is defined.

So, the domain is set of all real numbers.

Function is defined for all real values so it is the domain of function.

Domain of function :all real numbers.

Answer 2

The correct choice is B

Step-by-step explanation:

The composite function (f o g)(x) is evaluated by substituting g(x) in place of x in f(x) which yields;

(f o g)(x) = (g(x))^3 which finally becomes; (1-5x^2)^3.

The domain of a function is defined as the set of x- values for which the function is real and defined. This function clearly is not a rational function and as such it has no undefined points nor domain constraints. It is defined and real for every value of x on the real line.