Let Fx log3 x and Hx x2 Find the value of F H9SolutionFx

Let F(x) = log_3 x and H(x) = x^2. Find the value of F (H(9)).

Solution

F(x) = log₃x , H(x) = x² , F(H(9)) = ?

H(9) = 9²  , then F(H(9)) = F(9²) = log₃(9²) = log₃(3⁴) = 4 log₃(3) = 4(1) = 4

Therefore , F(H(9)) = 4