Question

Fungsi f dengan rumus :
"f (×) = ( 5p - 4)x - 3p + 5 dan f (3) = 17"
a.) Carilah P kemudian tentukan rumus fungsi tersebut !
b.) Hitunglah C bila f (2c-1) + f (c+5) = -58

Answer 1

F(x) = (5p-4)x - 3p+5
f(3) = 17 = (5p-4)3 - 3p+5
==> 17 = 15p-12-3p+5
==> 17 = 12p-7
==> 24 = 12p, p = 24/12=2
f(x) = (5p-4)x - 3p+5
= (5x2-4)x - 3x2 +5
= 6x-1

f(2c-1) + f(c+5) = -58
6(2c-1)-1 + 6(c+5)-1 = -58
12c-6-1+6c+30-1 = -58
18c+22 = -58
18c = -80
c = -80/18 = -40/9