SOLUTION: Let g(x)={x-2 x < -6 {4x+5 -6 < = x < 1 {1/2x^2 x >= 1 evaluate: a. g(-6) b. g(6) c. g(1) d. g(-8) Thank

Algebra ->  Functions -> SOLUTION: Let g(x)={x-2 x < -6 {4x+5 -6 < = x < 1 {1/2x^2 x >= 1 evaluate: a. g(-6) b. g(6) c. g(1) d. g(-8) Thank       Log On


   

Question 701916: Let g(x)={x-2 x < -6
{4x+5 -6 < = x < 1
{1/2x^2 x >= 1
evaluate:
a. g(-6)
b. g(6)
c. g(1)
d. g(-8)
Thank You
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
when x = -6, we're focusing on the middle expression 4x+5 since g(x) = 4x+5 if -6 <= x < 1

g(x) = 4x+5

g(-6) = 4(-6)+5

g(-6) = -24+5

g(-6) = -19

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When x = 6, we now move to the last piece 1/2x^2 since g(x) = 1/2x^2 if x >= 1

g(x) = 1/2x^2

g(6) = 1/2*(6)^2

g(6) = 1/2*(36)

g(6) = 18

Use this same technique to do parts C and D