Question

Someone please help me with this question I'm struggling

Answer 1

Step-by-step explanation

• Solve for x-term when g(x) = 5. Substitute g(x) = 5 in the equation.

`g(x) = - 2x + 1 \\ 5 = - 2x + 1`

Solve for the x-term.

`2x = - 5 + 1 \\ 2x = - 4 \\ x = ( - 4)/(2) \\ x = \frac{ \cancel{ - 4} \: \: \: - 2}{ \cancel{2} \: \: \: 1} \Longrightarrow \: ( - 2)/(1) \\ x = - 2`

Answer Check

Substitute x = -2 in the equation.

`5 = - 2( - 2) + 1 \\ 5 = 4 + 1 \\ 5 = 5`

The equation is true. Therefore x = -2 is the answer.

Answer

x = -2