Question
Let f(x)=2x-1,g(x)=3x and h(x)=x^2+1 Evaluate f(g(h(2)))
Solution
4.2
(252 Votos)
Stéfano
Profissional · Tutor por 6 anos
Resposta
29
Explicação
1. First, we need to evaluate \( h(2) \). Given that \( h(x) = x^2 + 1 \), when
, \( h(2) = 2^2 + 1 = 5 \).2. Next, we evaluate \( g(h(2)) \). Given that \( g(x) = 3x \), when
, \( g(5) = 3 \times 5 = 15 \).3. Finally, we evaluate \( f(g(h(2))) \). Given that \( f(x) = 2x - 1 \), when
, \( f(15) = 2 \times 15 - 1 = 29 \).Therefore, \( f(g(h(2))) = 29 \).