If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x). O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13

A. (f+g)(x)= -2x-13

Step-by-step explanation:

Add f(x) and g(x)

= (2x-5)+(-4x-8)

Add like terms.

=-2x-13

(f+g)(x)= -2x-13

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.