Question

Jika f(x) = x+2 dan g(x) = x/x+5 maka nilai dari (g -1 o f)(4) = ​

Answer 1

Penjelasan dengan langkah-langkah:

f(x) = x+2

g(x) = x/x+5

jika yg dimaksud

[tex]g(x) = \frac{x}{x + 5} [/tex]

[tex]x = g(x)(x + 5) \\ {g}^{ - 1} (x) = x(x + 5) \\ = {x }^{2} + 5x[/tex]

[tex]( {g}^{ - 1} of)(x) = (x + 2 {)}^{2} + 5(x + 2) \\ = {x}^{2} + 4x + 4 + 5x + 10 \\ = {x}^{2} + 9x + 14[/tex]

[tex]( {g}^{ - 1} of)(4) = {4}^{2} + 9(4) + 14 \\ = 16 + 36 + 14 \\ = 66[/tex]