Question

f(x) = 2x - 1 g(x) = 3x h(x) = x^2 + 1Find f(g(x))

Answer 1

Given the following functions:

f(x) = 2x - 1

g(x) = 3x

h(x) = x2 + 1

f(g(x)) means that we will be substituting the function of g(x) as x of the f(x) function.

We get,

$f\mleft(g\mleft(x\mright)\mright)\text{ }\rightarrow\text{ f(x) = 2x - 1 }\rightarrow\text{ }f(g(x))=\text{ 2(3x) - 1}$$f(g(x))=\text{ 6x - 1}$