Which expression is equal to (f+g)(x)?

x^2 +x+2

Step-by-step explanation:

f(x) = x^2+3

g(x) = x-1

f(x)+ g(x) = (f+g) (x)

x^2+3+ x-1

x^2 +x+2

x² + x + 2

Step-by-step explanation:

To find (f + g)(x), you add f(x) and g(x).

       f(x) = x²       + 3

      g(x) =       x -  1

(f + g)(x) = x² + x + 2

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

add an !

step-by-step explanation: