Di ketahui fungsi g(x) = px + q. Jika g(2) = -3 dan g(-3) =22, nilai dari g(5) – g(-1) adalah…​

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Di ketahui fungsi g(x) = px + q. Jika g(2) = -3 dan g(-3) =22, nilai dari g(5) – g(-1) adalah…​

Jawaban:

g (2) = 2p + q = -3

g(-3) = -3p + q = 32

___________-

5p = -35

p = -7

2p + q = -3

2(-7) + q = -3

-14 + q = -3

q = -3 + 14

q = 11

> g(5) = -7(5) + 11 = -35 + 11 = -24

> g(-1) = -7(-1) + 11 = 7 + 11 = 18

> g(5) – g(-1) = -24 – 18 = -42

g(2) = -3

g(-3) = 22

(2 – (-3)) p = -3 -22

5p = – 25

p = – 5

g(2) = – 3

q= – 3  - 2p

q = -3 +  10

q =  7

g(x) =  -5 x + 7

g(5) =  -5(5) + 7 = – 25 + 7  = -18

g(-1) = -5 (-1) + 7 = 5 + 7 = 12

g(5) – g(1) = – 18 – (-12) =  -6