A=8hsolve for hi don't understand how to do this. ?

Step-by-step explanation:

The equation you are given is solved for A. A is alone on one side. You want the equation solved for h. You want h alone on the left side, and what h is equal to on the right side. You want to isolate h.

A = 8h

Since you want h alone on the left side, and there is an h only on the right side, we start by switching sides.

8h = A

Now you have h on the left side. h is being multiplied by 8. The opposite operation to multiplication is division. To undo the multiplication by 8, you need to divide by 8. The rule with equations is that you must do the same operation to both sides of the equation. We now divide both sides of the equation by 8.

The left side simplifies to just h, which is what we want.

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!