What is the effect on the graph of the function f (x) = x when f (x) is replaced with - f (x) + 5?

The function f (x) translated left by 5 units and then it is reflected across the x-axis.

Step-by-step explanation:

The original equation of the graph of the function is f (x) = x ... (1)

If we replace f (x) by [ - f (x) + 5] then the equation becomes - f (x) + 5 = x

⇒ f (x) = - (x - 5) ... (2)

So, comparing equations (1) and (2), we can conclude that the graph of the function f (x) translated left by 5 units and then it is reflected across the x-axis. (Answer)