What is (f+g)(x)?

f(x)=x2−36

g(x)=x3+2x2−10

enter your answer in the box.

( f + g )(x) is x³ + 3x² - 46

Step-by-step explanation:

Given: f(x) = x² - 36   and g(x) = x³ + 2x² - 10

we have to find ( f + g )(x)

( f + g )(x) = f(x) + g(x) = ( x² - 36 ) + ( x³ + 2x² - 10 )

                = x² - 36 + x³ + 2x² - 10

                = x³ + (1+2)x² - 36 - 10

                = x³ + 3x² - 46

Therefore, ( f + g )(x) is x³ + 3x² - 46

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.