diketahui f(x)= x+5, g(x)=x²-4 dan h(x) =2x-1. tentukan: a. f-1(x) b. (f○g) (x) c. (f○g)-1 (1) d. (f○g○h) (x)

Langsung aja y

nomor 1
f{f`¹(x)} = x
f`¹(x) + 5 = x
f`¹(x) = x - 5

nonor 2
(fog)(x) = f{g(x)}
= g(x) + 5
= x² - 4 + 5
= x² + 1

nomor 3
y = x² + 1
x² = y - 1
x = √(y - 1)

(fog)`¹(x) = √(x - 1)

nomor 4
misal :
(fog)(x) = s(x)

(soh)(x) = s{h(x)}
= h(x)² + 1
= (2x - 1)² + 1
= 4x² - 4x + 1 + 1
= 4x² - 4x + 2

semoga berguna +_+