Diketahui (fog) (x) = x² +4x - 7 tentukan A. f(x) jika g (x) =x-2 B. g(x) jika f(x) =x-2

Hayooo jawab bareng Kak To9ha..

(fog)(x) = F(x) = x² + 4x - 7

A][
g(x) = x - 2 ---> g^-1 (x) = x + 2

f(x) = F(g^-1 (x))
f(x) = (x + 2)² + 4(x + 2) - 7
f(x) = x² + 8x + 5

B][
f(x) = x - 2

(fog)(x) = x² + 4x - 7
g(x) - 2 = x² + 4x - 7
g(x) = x² + 4x - 5

nyoba

fog(x) = x² + 4x - 7

a) g(x) = x - 2
f(x-2) = x² + 4x - 7
f(x)= (x +2)² + 4(x+2) - 7
f(x) = x² + 4x + 4 + 4x + 8 - 7
f(x)= x² +8x + 5

b. f(x) = x - 2
f⁻¹(x) = x + 2
g(x) = f⁻¹ o (fog) =  fog(x) + 2
g(x) = x² + 4x - 7 +  2
g(x)= x² + 4x - 5