tentukan rumus untuk fungsi f(x) bila diketahui g(x) = 2x^2+3 dan (gof)(x)=5x^2+x

jwb

g{f(x)}= 5x² + x
2. (f(x))² + 3 = 5x² + x
f²(x) = 1/2 (5x² +x - 3)
f(x) = √ { 1/2 (5x² + x - 3)}
f(x) = 1/2 √ {2(5x² + x - 3)}
f(x)= 1/2 √(10x² + 2x - 6)

g(x) = 2x² + 3

g(f(x)) = 5x² + x
2(f(x))² + 3 = 5x² + x
(f(x))² = (5x² + x - 3)/2
f(x) = √((5x² + x - 3)/2)