Answer:
f(g(-64)) = -190
Step-by-step explanation:
The functions are not well written.
Let us assume;
f(x) = x+1
g(x) = 3x+1
f(g(x)) = f(3x+1)
Replace x with 3x+1 in f(x)
f(g(x)) = (3x+1) + 1
f(g(x)) = 3x + 2
f(g(-64)) = 3(-64) + 2
f(g(-64)) = -192+2
f(g(-64)) = -190
Note that the functions are assumed but same method can be employed when calculating composite functions
Using composite functions, it is found that:
The composite function of functions f(x) and g(x) is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Researching the problem on the internet, it is found that the functions are:
[tex]f(x) = (x + 1)^3[/tex]
[tex]g(x) = \sqrt[3]{x} + 1[/tex]
Then, the composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(\sqrt[3]{x} + 1) = (\sqrt[3]{x} + 1 + 1)^3 = (\sqrt[3]{x} + 2)^3[/tex]
At x = -64, we have that:
[tex](f \circ g)(-64) = (\sqrt[3]{-64} + 2)^3 = (-4 + 2)^3 = (-2)^3 = -8[/tex]
Hence:
To learn more about composite functions, you can take a look at https://brainly.com/question/17684028
