If f​(x​)=−5x+5 and g​(x​)=8+2x find​ a, b,​ c, and d. a.​ (f+g​)(x​), b.​ (f−g​)(x​), c.​ (f+g​)(4​), and d.​ (f−g​)(−3​)

Step-by-step explanation:

f(x) = -5x + 5

g(x) = 8 + 2x

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

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

               = - 5x + 2x + 5 + 8

               = - 3x + 13

b) (f - g)(x) = f(x) - g(x)

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

              = - 5x + 5 - 8 - 2x

              = - 7x - 3

c) (f + g)( 4 )

   (f + g)( x ) = - 3x + 13

   (f + g) ( 4 ) = - 3 ( 4 ) + 13

                  = - 12 + 13

                  = 1

d)(f - g)(- 3)

  (f - g) ( x ) = - 7x - 3

  (f - g) ( - 3 ) = - 7 ( - 3 ) - 3

                   = 21 - 3

                   = 18

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation:

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