Question

Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly? (2 points)

Answer 1

The value of f[ g(x) ] = 7x + 27

Explanation:

It is given that, f( x ) = 7x + 13 and g( x ) = x + 2

To find the value of f(g(x))

g(x) = x + 2 and 7x + 13 (given)

Let g(x) = x + 2

f [ g(x) ] = 7(x + 2) + 13 [ substitute the value of g(x) in f(x) ]

= 7x + 14 + 13

= 7x + 27

Therefore the value of f[ g(x) ] = 7x + 27