Question

PLEASE HELP THANK YOU!!!!

suppose that the function G is defined, for all real numbers as follows:
G(x)=-1/4x-1 if x is less than or equal to -2
(x-1)^2-3 if -2 < x less than or equal to 1
1/4x+2 if x is > than 1
find g (-5), g(-2), and g(-1)

Answer 1

//// For G(x) = -1/4x - 1////
G(-5) = -1/4(-5) - 1 = 0.25;
G(-2) = -1/4(-2) - 1 = -0.25;
G(-1) = -1/4(-1) - 1 = -0.75;
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////For G(x) = (x-1)^2 - 3////
G(-1) = ((-1) -1)^2 - 3 = 1;
G(-2) = ((-2) - 1)^2 - 3 = 6;
G(-5) = ((-5) - 1)^2 - 3 = 33;
//////////////////////////////////////////

////For G(x) = 1/4x + 2////////
G(-5) = 1/4(-5) + 2 = 0.75;
G(-2) = 1/4(-2) + 2 = 1.5;
G(-1) = 1/4(-1) + 2 = 1.75;