Question

jawablah soal mengenai notasi fungsi

diket. = g(x) = 2x^2 - 4 , dan carilah:

a. g(3) + g(2)

b. nilai dari a, apabila g(a) = 46

Answer 1

• [tex]g(x) = {2x}^{2} - 4[/tex]

Sehingga,

[tex]A. \: g(3) + g(2) = ({2(3)}^{2} - 4) + ({2(2)}^{2} - 4)[/tex]

• [tex]g(3) + g(2) = (2(9) - 4) + (2(4) - 4)[/tex]
• [tex]g(3) + g(2) = (18 - 4) + (8 - 4)[/tex]
• [tex]g(3) + g(2) = 14 + 4[/tex]
• [tex]g(3) + g(2) = 18[/tex]

[tex]B. \: g(a) = {2a}^{2} - 4 = 46[/tex]

• [tex] > > > > > {2a}^{2} = 46 - ( - 4)[/tex]
• [tex]> > > > > {2a}^{2} = 46 + 4[/tex]
• [tex]> > > > > {2a}^{2} = 50[/tex]
• [tex]> > > > > {a}^{2} = \frac{50}{2} [/tex]
• [tex]> > > > > {a}^{2} = 25[/tex]
• [tex]> > > > > a = \sqrt{25} [/tex]
• [tex]> > > > > a = 5[/tex]