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

f[g (x) ] = 7x^2 + 27

f[g (x) ] = 7x^2 + 15

f[g (x) ] = 49x^2 + 182x + 169

f[g (x) ] = 49x^2 + 182x + 171

Question

Mathematics

Vincent Tanner

17 December, 10:42

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

f[g (x) ] = 7x^2 + 27

f[g (x) ] = 7x^2 + 15

f[g (x) ] = 49x^2 + 182x + 169

f[g (x) ] = 49x^2 + 182x + 171

+5

Answers (1)

Know the Answer?

Gloria Sanchez · Answer 1

f (g (x)) = x^2 + 27.

Step-by-step explanation:

To find f (g (x)) we replace the x in f (x) by g (x) and simplify:

f (g (x)) = 7 (x^2 + 2) + 13

= 7x^2 + 14 + 13.

= 7x^2 + 27.

Given the functions f (x) = 7x + 13 and g (x) = x^2 + 2, which of the following functions represents f[g (x) ] correctly?f[g (x) ] = 7x^2 + 27f[g (x) ] = 7x^2 + 15f[g (x) ] = 49x^2 + 182x + 169f[g (x) ] = 49x^2 + 182x + 171

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

f[g (x) ] = 7x^2 + 27

f[g (x) ] = 7x^2 + 15

f[g (x) ] = 49x^2 + 182x + 169

f[g (x) ] = 49x^2 + 182x + 171