Question

odd function f(x) is defined for all real values of x. for the function g(x)=2.3+f(x-9), calculate g(6)+g(8)+g(10)+h(12).

Answer 1

To find g(x), substitute the given expression into the equation. Then calculate g(6)+g(8)+g(10)+g(12) by adding the individual values of g(x).

Step-by-step explanation:

First, let's find g(x) by substituting the given expression into the equation: g(x) = 2.3 + f(x-9). Since f(x) is an odd function, f(-x) = -f(x), therefore, f(x-9) = -f(9-x).

Substituting this into the equation, we get g(x) = 2.3 - f(9-x).

Now, we can calculate g(6), g(8), g(10) and g(12) by substituting the respective values of x into the equation.

Finally, we can calculate g(6)+g(8)+g(10)+g(12) by adding the individual values of g(x).