Question

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Given the function g(x) = mx + c and that g(1) = 5 and g(5) = -4, find the value of m and of c. Hence, evaluate g(3) and g(-4).​

Answer 1

Answer:

m= -9/4  c= 29/4   g(3)= 1/2       g(-4) =65/4

Step-by-step explanation:

Answer 2

Answer:

g(3)=0.5, g(-4)=16.25

Step-by-step explanation:

g(x)=mx+c

if g(1)=5

then m*1+c=5

m+c=5....(1)

m=5-c

Now

g(5)= -4

then, m*5+c= -4

5m+c= -4....(2)

put the value of m in equ(2)

5(5-c)+c= -4

25-5c+c= -4

25-4c= -4

-4c= -4-25

-4c= -29

c=29/4

put the value of c in equ (1)...

m+(29/4)=5

m=5-(29/4)

m= -9/4

Then...

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

g(3)=1/2

g(3)=0.5,

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

g(-4)=65/4

g(-4)=16.25