Question

[fo (h o g)](1)

F(x) =3x , g(x) = x+4, and h(x) = x^2 - 1 find each value

Answer 1

To find the value of [fo(h o g)](1), substitute the given functions f(x), g(x), and h(x) into the expression and evaluate it at x = 1. The result is 72.

Step-by-step explanation:

To find the value of [fo(h o g)](1), we need to substitute the given functions f(x), g(x), and h(x) into the expression and evaluate it at x = 1.

First, let's find the value of h o g:

h o g(x) = h(g(x))

= h(x+4)

= (x+4)^2 - 1

= x^2 + 8x + 15

Next, let's find the value of fo(h o g):

fo(h o g)(x) = f(h o g(x))

= f(x^2 + 8x + 15)

= 3(x^2 + 8x + 15)

Finally, substitute x = 1 to get the final result:

[fo(h o g)](1) = 3(1^2 + 8(1) + 15)

= 3(1 + 8 + 15)

= 3(24)

= 72