Question

Question 1(Multiple Choice Worth 2 points)

(07.09)

Given the functions f(x) = 6x + 11 and g(x) = x + 6, which of the following functions represents f[g(x)] correctly?

f[g(x)] = 6x + 47
f[g(x)] = 6x + 17
f[g(x)] = 6x^2 + 47
f[g(x)] = 6x^2 + 17

Answer 1

6x +47

Explanation:

f(x) = 6x + 11

g(x) = x + 6

now f[g(x)]=by substituting values of g (x)

to f (x)

f[g(x)]=6 (x+6)+11

=6x+36+11

=6x +47