Question

The functions f(x)=−34x+214 and g(x)=(12)x+1 are shown in the graph. What numbers are solutions to −34x+214=(12)x+1? Select each correct answer.

Answer 1

-1 - 1

Explanation:

i took the test this is right

Answer 2

`x=-1`

`x=1`

Explanation:

we have

`f(x)=-(3)/(4)x+2(1)/(4)` -----> equation A

`g(x)=(1)/(2)^(x) +1` ----> equation B

To find the solutions for x of the system of equations

equate equation A and equation B

`-(3)/(4)x+2(1)/(4)=(1)/(2)^(x) +1`

The values of x of the intersection points are the solutions of the system

Using a graphing tool

see the attached figure

There are two intersection points

therefore

The solutions are

`x=-1`

`x=1`