Operation of function1. f(n)=-4n+1,g(n)=-2n-5;Find (f°g)(n)
Answer (1)
Answer:Here's how to find (f ° g)(n), which represents the composition of the functions f(n) and g(n): Understanding Composition of Functions The composition of functions (f ° g)(n) means we first apply the function g(n) to the input 'n', and then use the output of g(n) as the input for the function f(n). Step-by-Step Calculation 1. Start with the inner function, g(n): - g(n) = -2n - 52. Substitute the output of g(n) into the function f(n): - f(g(n)) = f(-2n - 5)3. Apply the rule of f(n) to the expression (-2n - 5): - f(-2n - 5) = -4(-2n - 5) + 14. Simplify the expression: - = 8n + 20 + 1- = 8n + 21 Therefore, (f ° g)(n) = 8n + 21
