Question

Graph the functions on the same coordinate plane.

f(x)=x2−4x+5g(x)=x+1
What are the solutions to the equation where f(x) = g(x)?

Question 1 options:

1


2


3


4

Answer 1

The solutions of given equation are 1 and 4.

Explanation:

The given functions are

`f(x)=x^2-4x+5`

`g(x)=x+1`

We have to find the solutions of given equation
`f(x)=g(x)`.

`x^2-4x+5=x+1`

`x^2-4x+5-x-1=0`

`x^2-5x+4=0`

`x^2-4x-1x+4=0`

`x(x-4)-1(x-4)=0`

`(x-4)(x-1)=0`

`x=4,1`

Therefore the solutions of given equation are 1 and 4.

Answer 2

• x = 1
• x = 4

Explanation:

The graph shows g(x) intersects f(x) in two places, where x=1, and where x=4.