Question

Given g(x) = -x + 4, solve for x when g(x) = 0.

a) x = 4
b) x = -4
c) x = -3
d) x = 3

Answer 1

To solve for x given g(x) = -x + 4 when g(x) = 0, we set the equation to zero and solve for x, yielding x = 4, which is option (a).

Step-by-step explanation:

An equation is a mathematical statement asserting that two expressions are equal. It contains an equal sign ("=") separating the left-hand side (LHS) and the right-hand side (RHS). The goal in solving an equation is to find the value(s) of the variable(s) that satisfy the equality.

For example, a simple linear equation could be

2

�

+

5

=

11

2x+5=11. Here,

2

�

+

5

2x+5 is the left-hand side (LHS),

11

11 is the right-hand side (RHS), and the equal sign indicates that both sides are equal.

To solve for x when g(x) = 0 given the function g(x) = -x + 4, we can set the equation equal to zero and solve for x:

0 = -x + 4

Now, add x to both sides of the equation:

x = 4

Therefore, the solution is x = 4, which corresponds to option (a).