Function gis a transformation of the parent exponential function. Which statements are true about function g? V
10
8-
g
6
2
-10
-65
-4
-2
O
6
10
-2
-6
-8-
-10-
Function g is positive over the interval (-0,00).
Function gis 4 units above function f.

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Ответ:

garay2015

17.04.2020

Mathematics

g o f = g(f(x)) = 32x^2 + 32x + 4

Step-by-step explanation:

Given

f(x) = 4x +2

g(x) =2x^2 - 4

Required:

Find g o f

This is calculated as:

gof = g(f(x))

g(x) =2x^2 - 4

So:

g(f(x)) = 2(4x+2)^2 - 4

g(f(x)) = 2(4x+2)(4x+2) - 4

g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4

g(f(x)) = 32x^2 + 32x + 8 - 4

g(f(x)) = 32x^2 + 32x + 4

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Function gis a transformation of the parent exponential function. Which statements are true about function g? V 10 8- g 6 2 -10 -65 -4 -2 O 6 10 -2 -6 -8- -10- Function g is positive over the interval (-0,00). Function gis 4 units above function f.