What is the value of x in the equation −x = 3 − 4x + 6?

−9
−3
3
9

The answer is 3

x = 3

Step-by-step explanation:

-x = 3 - 4x +6

make the -4x positive and then add it to the -x

-x = 3 +6

+4x

3x = 3 +6

then add the 3 +6 together

3x = 3 + 6

         9

3x = 9

we want to get X alone so we are going to divide 3 by both sides

3x/3 = 9/3

1x = 3

and if you did not know we usually don't show the "1" if it is in front of a exponent (you just have to remember that there is a one there)

now you have your answer

x = 3

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

step-by-step explanation: