Question

Given f(x)=-x-3, solve for x when f(x)=-2.

Answer 1

x = -1

Explanation:

Substitute f(x) = -2 in the equation:

`\displaystyle{ - 2 = - x - 3 }`

Add 3 both sides:

`\displaystyle{ - 2 + 3= - x - 3 + 3 } \\ \\ \displaystyle{ 1= - x }`

Divide both sides by -1:

`\displaystyle{x = - 1}`

Therefors x = -1 when f(x) = -2