Question

Diketahui f(x) = -x² + x - 3 Tentukan :
garis singgung f(x) yang tegak lurus garis 2x + 6y = 5​

Answer 1

Jawab:

Jawaban terlampir

Answer 2

2x+6y = 5

6y = -2x+5

y = -1/3 x + 5/6

m1 = -1/3

m1.m2 = -1

(-1/3).m2 = -1

m2 = 3

f(x) = -x²+x-3

m2 = -2x+1 <= m2 = 3

3 = -2x+1

2x = -2

x = -1

f(-1) = -(-1)²-1-3

f(-1) = -2-3 = -5

garis singgungnya :

y+5 = 3(x+1)

y+5 = 3x+3

y-3x = -2

3x-y = 2

3x-y-2 = 0