Question

Given g, left bracket, x, right bracket, equals, 2, x, plus, 1g(x)=2x+1, solve for xx when g, left bracket, x, right bracket, equals, 7g(x)=7.

Answer 1

To solve for x when g(x) = 7, where the function g is defined as g(x) = 2x + 1, we subtract 1 from both sides of the equation and then divide by 2, resulting in x = 3.

Step-by-step explanation:

To solve the equation g(x) = 7 where g(x) is defined as g(x) = 2x + 1, we will follow the steps of algebraic manipulation to isolate x:

Start with the given equation: g(x) = 2x + 1.

Set g(x) equal to 7: 2x + 1 = 7.

Subtract 1 from both sides of the equation: 2x = 6.

Divide both sides by 2 to get x: x = 3.

The solution is that x = 3 when g(x) = 7.