Question

Let ( f(x) = x - 2x - 5 ) and ( g(x) = 5x - 7 ). Find ( (8 - f)(x) ).

a. ( -x + 13 )
b. ( x - 13 )
c. ( -x - 13 )
d. ( x + 13 )

Answer 1

To find (8 - f)(x), subtract f(x) from 8. Simplifying f(x) to -x - 5 and performing the subtraction leads to the correct expression x + 13.

Step-by-step explanation:

To find the expression for (8 - f)(x), we need to subtract the function f(x) from 8. Given that f(x) = x - 2x - 5, we can simplify this to f(x) = -x - 5.

Now, subtracting f(x) from 8 gives us:

8 - f(x) = 8 - (-x - 5) = 8 + x + 5 = x + 13.

Therefore, the correct expression for (8 - f)(x) is x + 13.