Let f(x) =3x and g(x)=4x Find its function and its domain.

3x/4x = 3/4x

(- infintity, infinity)

is this correct?

You don't say what you are trying to calculate. Is it f{g(x)} ?

That would be 3*(4x) = 12 x

f(x)/g(x) would be 3/4

You statement 3x/4x = 3/4x is not correct in any case.

its f(x)/g(x) so its 3/4

so would the domain still be

(- infinity, infinity)?

No. The only possible answer is 3/4 in that case

Thanks.

To find the function formed by combining f(x) = 3x and g(x) = 4x, you need to use the concept of composition of functions. The composite function, denoted as f(g(x)), represents the result of applying the function g(x) first and then applying the function f(x) to the result.

To compute f(g(x)), substitute g(x) into f(x), giving f(g(x)) = 3(4x) = 12x. Therefore, the composite function is f(g(x)) = 12x.

Regarding the domain of the composite function, it inherits the domain from the inner function (g(x)). Since g(x) = 4x, it is defined for all real numbers (−∞, +∞). Thus, the domain of f(g(x)) = 12x is also (−∞, +∞).

Therefore, the correct function formed by combining f(x) = 3x and g(x) = 4x is f(g(x)) = 12x, and its domain is (−∞, +∞).