F(x) = x-1 g(x) =x²-1 h(x) = 1/x nilai (fog) oh dan fo(goh)

F(x) = x-1 g(x) =x²-1 h(x) = 1/x nilai (fog) oh dan fo(goh)

Jawab:

( f o g ) o h =

f o ( g o h ) =

Penjelasan dengan langkah-langkah:

# ( f o g ) o h = ( x²- 1 – 1) o h(x)

= ( x² ) o ( $frac{1}{x}$ )

= $(frac{1}{x} )^{2}$

= $frac{1}{x^{2} }$

f o ( g o h ) = f(x) o ( $(frac{1}{x} )^{2}$ – 1 )

= f(x) o ( $frac{1}{x^{2} }$ - 1)

= $frac{1}{x^{2} }$ - 1 – 1

= $frac{1}{x^{2} }$

Semoga membantu, terima kasih telah menggunakan Brainly.

Tetap semangat dan jangan putus asa.

Salam hangat.

Sekian, terima kasih

Penjelasan dengan langkah-langkah:

$f(x) = x - 1 \ g(x) = {x}^{2} - 1 \ h(x) = frac{1}{x}$

$(fog)(x) = ( {x}^{2} - 1) - 1 = {x}^{2} - 2 \ (fog)oh(x) = {( frac{1}{x} })^{2} - 2 = frac{1}{ {x}^{2} } - 2$

$(goh)(x) = {( frac{1}{x}) }^{2} - 1 = frac{1}{ {x}^{2} } - 1 \ fo(goh)(x) = ( frac{1}{ {x}^{2} } - 1 ) - 1 = frac{1}{ {x}^{2} } - 2$