Question

a funçao f(x) =x-4 f(g(x)) =2x+3 determine g(x)

Answer 1

g(x) = z

f(x) = x - 4

f(g(x)) = g(x) . x - 4

g(x) . x - 4 = 2x + 3

g(x) . x = 2x +3 + 4

g(x) . x = 2x + 7

g(x) = $\frac{2x + 7}{x}$

g(x) = $\frac{2x}{x}$ + $\frac{7}{x}$

g(x) = $\frac{7}{x}$ + 2