Final answer:
To calculate f(x+1), substitute x+1 into the function f(x) = 5x^2 + 7x - 3. To calculate f(-x), substitute -x into the function f(x) = 5x^2 + 7x - 3.
Step-by-step explanation:
To calculate f(x+1), we substitute x+1 into the function f(x) = 5x^2 + 7x - 3:
f(x+1) = 5(x+1)^2 + 7(x+1) - 3
Simplifying this expression gives us the value of f(x+1).
To calculate f(-x), we substitute -x into the function f(x) = 5x^2 + 7x - 3:
f(-x) = 5(-x)^2 + 7(-x) - 3
Simplifying this expression gives us the value of f(-x).