Question

Given the function $f(x) = 8x - 5$, evaluate $f(x + 1)$.

A) $8x + 3$
B) $8x + 2$
C) $8x + 5$
D) $8x + 8$

Answer 1

To evaluate the function f(x) = 8x - 5 at x + 1, we substitute x with x + 1, distribute 8, and combine like terms to get A) 8x + 3 as the solution.

Step-by-step explanation:

To evaluate the function f(x) = 8x - 5 for the expression x + 1, we simply replace every occurrence of x in the function with (x + 1):

f(x + 1) = 8(x + 1) - 5

Now, we distribute the 8 across the parentheses:

= 8x + 8 - 5

Then we combine the like terms (8 and -5):

= 8x + 3

Thus, the answer is A) 8x + 3.