Jawab:

saya kasih penjelasan contohnya aja ya

Penjelasan dengan langkah-langkah:

contoh

f(x)=2x+3--> f ^ - 1 * (x) = (x - 3) / 2 g(x) = (x + 1) / (x - 2) -> g ^ - 1 * (x) = (2x + 1) / (x - 1)

a) (g f)^ -1 (x)=f^ -1 g ^ - 1 * (x) =\ 2x+1)/(x-1)-

3}/2

=( (2x - 1) - 3(x - 1) \ /2(x-1)

= (2x - 1 - 3x + 3) / (2x - 2)

= (- x + 2) / (2x - 2)

(f g)^ -1 (x)=g^ -1 f ^ - 1 * (x)

g ^ - 1 * \{(x - 3) / 2\} =\ 2(x-3)/2+1\ /\ (x-3)/2)-1\

= (4(x - 3) + 2) /((x-3)-2\

= (4x - 12 + 2) / (x - 3 - 2)

= (4x - 10) / (x - 5)

b.

(gof) ^ - 1 * (2) = (- 2 + 2) / (4 - 2) = 0 (fog) ^ - 1 * (2) = (4(2) - 10) / (2 - 5) = - 2/- 3 = 2/3