Question

(A) find F(x) for the indicated values of x, if possible

Answer 1

Answer:

A) The indicated values of F(x) for x=-3 and x=5 are $F(-3)=-27$  and $F(5)=125$

B) The domain of f is the set of all real numbers

Step-by-step explanation:

Given that the function F is defined by

$F(x)=x^3$ for x=-3,5

A) To find F(x) for the indicated values of x :

Given $F(x)=x^3$ for x=-3,5

• Put x=-3 in the given function

$F(-3)=(-3)^3$

$=(-3)\times (-3)\times (-3)$

$=-27$

Therefore $F(-3)=-27$

• Put x=5 in the given function

$F(5)=(5)^3$

$=(5)\times (5)\times (5)$

$=125$

Therefore $F(5)=125$

The indicated values of F(x) for x=-3 and x=5 are $F(-3)=-27$  and $F(5)=125$

B) To find the domain of f :

The domain of the f in the given expression is the set of all real numbers except where the expression $x^3$ is undefined. In this case, there is no real number that makes the expression undefined.

The domain of f is the set of all real numbers