The problem asks us to evaluate the function $f(x) = 8x - 6$ for different values and expressions: $f(0)$, $f(2)$, $f(-2)$, $f(x+1)$, and $f(-x)$.

1. Problem Description

The problem asks us to evaluate the function $f(x) = 8x - 6$ for different values and expressions: $f(0)$, $f(2)$, $f(-2)$, $f(x+1)$, and $f(-x)$.

2. Solution Steps

A) Evaluate $f(0)$:

Substitute $x = 0$ into the function:

$f(0) = 8(0) - 6 = 0 - 6 = -6$

B) Evaluate $f(2)$:

Substitute $x = 2$ into the function:

$f(2) = 8(2) - 6 = 16 - 6 = 10$

C) Evaluate $f(-2)$:

Substitute $x = -2$ into the function:

$f(-2) = 8(-2) - 6 = -16 - 6 = -22$

D) Evaluate $f(x+1)$:

Substitute $x+1$ for $x$ in the function:

$f(x+1) = 8(x+1) - 6 = 8x + 8 - 6 = 8x + 2$

E) Evaluate $f(-x)$:

Substitute $-x$ for $x$ in the function:

$f(-x) = 8(-x) - 6 = -8x - 6$

3. Final Answer

A) $f(0) = -6$

B) $f(2) = 10$

C) $f(-2) = -22$

D) $f(x+1) = 8x + 2$

E) $f(-x) = -8x - 6$