Question

please neatly show all steps. thank you!! Use these functions for problems 10-14: f(x) = In x 8(x) = 25x h(x) = 18 .8 11. (g • f)(x). What is the domain of g • f?

Answer 1

The domain of g • f is x > 0.

Step-by-step explanation:

To find the domain of g • f, we need to consider the restrictions on the inputs of both functions in the composition.

g(x) = 25x -> The domain of g(x) is all real numbers.

f(x) = In(x) -> The domain of f(x) is x > 0, since the natural logarithm is only defined for positive values.

To find the domain of g • f, we need to determine the values of x that satisfy both the domain restrictions of g(x) and f(x). In this case, the domain of g • f is x > 0, since the composition of the two functions requires input values that are greater than zero.

Learn more about Domain of Function