Question

F(x) = 4e^x , g(x) = x^4 , what is g(f(x))

Answer 1

To calculate g(f(x)), we substitute f(x) into g(x) and simplify the expression.

Step-by-step explanation:

To calculate g(f(x)), we need to substitute the expression f(x) into the function g(x). The function g(x) is defined as x^4. So, we substitute 4e^x for x in x^4.

Therefore, g(f(x)) = (4e^x)^4. To simplify this, we need to apply the power rule, which states that when a number is raised to a power, we multiply the exponent outside the brackets with each exponent inside the brackets. So, (4e^x)^4 is equal to 4^4 * (e^x)^4.

Simplifying further, we get g(f(x)) = 256 * e^(4x).