diketahui fungsi f(x) = 2^(2x+1) dan g(x)= 3log (x^2-2x). jika (fog)^-1(p)=3. maka nilai p a. 8 b. 16 c. 32 d. 61 e. 128
Matematika
whiteflow
Pertanyaan
diketahui fungsi f(x) = 2^(2x+1) dan g(x)= 3log (x^2-2x). jika (fog)^-1(p)=3. maka nilai p
a. 8
b. 16
c. 32
d. 61
e. 128
a. 8
b. 16
c. 32
d. 61
e. 128
1 Jawaban
-
1. Jawaban arsetpopeye
(f o g)^-1(p) = 3 => (f o g)(3) = p
p = f(g(3)) = f(3log(3^2 - 2(3))) = f(3log(9 - 6)) = f(3log3) = f(1) = 2^(2(1) + 1)
= 2^3 = 8