Question

plz solve this asap​

Answer 1

Solution:

g(x) = mx+c ---(1)

i) given g(1) = 5

=> m+c = 5 ---(2)

ii)g(5) = -4

=> m×5 + c = -4

=> 5m + c = -4 ----(3)

subtract (2) from (3) ,we get

=> 4m = -9

=> m = -9/4

put m = -9/4 in (2) ,we get

-9/4 + c = 5

=> c = 5+9/4

=> c = (20+9)/4

=> c = 29/4

iii ) g(3) = 3m+c

= 3(-9/4)+29/4

= (-27 + 29 )/4

= 2/4

= 1/2

iv ) g(-4) = -4m+c

=-4(-9/4)+(29/4)

= (-36+29)/4

= -7/4

Therefore,

m = -9/4 ,

c = 29/4,

g(3) = 1/2,

g(-4) = -7/4

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