Question

Let ​ f(x)=x+2 ​ and ​ g(x)=2x+1 ​ .

Graph the functions on the same coordinate plane.


What are the solutions to the equation f(x)=g(x) ?



Enter your answers in the boxes.

Answer 1

1 & 0

Explanation:

Answer 2

x= 0 and x= 1

Explanation:

Given g(x) = x+2 and f(x) =
`2^x+1`

If f(x) = g(x)

⇔
`2^x+1` = x+2

⇔
`2^x= x +1`

Only x= 1 and x=0 will be satisfy the above equation.

If x= 1, it gives and x=0 gives

`2^1= 1+1`
`2^0=0+1`

⇔2=2 ⇔1=1