Question

The expression gives the same value as (3x − 2x) + 2(2x − x) + 4 for both x = 1 and x = 3. So, the two expressions are .

Answer 1

Answer:

The two expression are 4x+3 and 4x+1.

Step-by-step explanation:

The given expression is

$(3x-2x)+2(2x-x)+4$

Simplify the given expression

$x+2x+4$

$3x+4$

The value of function at x=1 is

$3(1)+4=7$

The value of given expression is 7 at x=1. There many expression that gives the same value as (3x-2x)+2(2x-x)+4 at x=1.

The expression can be

$4x+3$

At x=1,

$4(1)+3=7$

The value of function at x=3 is

$3(3)+4=13$

The value of given expression is 7 at x=1. There many expression that gives the same value as (3x-2x)+2(2x-x)+4 at x=3.

$4x+1$

At x=3,

$4(3)+1=13$

Therefore the two expression are 4x+3 and 4x+1.