Function operations and composition

g(a)= 4a +4
h(a)= -4a + 5
Find (g + h)(a)

(g + h)(a) = 9

Step-by-step explanation:

g(a)= 4a +4

h(a)= -4a + 5

(g + h)(a)

We add the functions

(g + h)(a) =  4a +4 + -4a + 5

Combine like terms

(g + h)(a) =0a +9

(g + h)(a) = 9

hiking down a winding trail.

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15