Someone help me please

-7 / (x^2 +3x-10)

Step-by-step explanation:

1/ (x+5) - 1/(x-2)

we need to get a common denominator

1/ (x+5)  * (x-2)/ (x-2)   - 1/(x-2) * (x+5)/(x+5)

(x-2) / (x+5)(x-2)   - (x+5)/  (x+5)(x-2)

Combine the numerator

(x-2 -x-5)/ (x+5)(x-2)

-7/(x+5)(x-2)

FOIL the denominator

-7 /( x^2 -2x +5x -10)

Combine terms in the denominator

-7 / (x^2 +3x-10)

where is the image?

step-by-step explanation:

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!