Question

Let f:R→R and g:R→R be continuous functions. Let

h:R→R be the function given by 8x²∈R. What is the value of h(x)?

a. 8x²
b. f(x)+g(x)
c. f(x)g(x)
d. f(x)−g(x)

Answer 1

Let f:R→R and g:R→R be continuous functions. Let

h:R→R be the function given by 8x²∈R. What is the value of h(x)?

Step-by-step explanation:

b. f(x)+g(x)

Answer 2

The function h(x) is defined as 8x², making answer a the correct choice. Other options are not applicable as they reference unrelated functions f and g.

The correct option is a.

Step-by-step explanation:

The value of the function h(x) is given by 8x². The confusion might arise from the information on continuous functions f and g, which are unrelated to function h.

In this case, since h: R→R is clearly defined as the function given by h(x) = 8x², the correct answer to "What is the value of h(x)?" is a. 8x².

The other options provided, such as f(x)+g(x), f(x)g(x), and f(x)−g(x), are not applicable here since those operations involve functions f and g which are not specified alongside h.

The correct option is a.