Question

Let g(x)=2x and h(x)=x^2+4. Find the value (hog) (1) A)2 B)8 C)10 D)16

Answer 1

Answer: B) 8

Step-by-step explanation: In mathematics, function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)), to do the given composition we need to evaluate the first function g(x) in the given value (1) and then evaluate the result in the function h(x), the procedure is shown as follows:

g(x)=2x

g(1)=2(1)

g(1)=2

h(x)=x^2+4

h(g(1))=h(2)

h(2)=2^2+4

h(2)=4+4

h(2)=8

Answer 2

The answer is B) 8
g(1)=2(1) = 2
h(2)=2^2+4 = 8
(hog)= h(g(x))
in this case x was given as 1.