Question

5. (07.09) Given the functions f(x) = 7x+13 and g(x)=x+2. which of the following functions represents f(g(x)] correctly? (2 points) f(g(x)] = 7K+ 15 O f(g(x)] = 7x+27 f[g(x)] = 75 + 15 Of(g(x)] = 7x + 27​

Answer 1

f(g(x)) = 7x + 27

Explanation:

We have, f(x) = 7x+13 and g(x) = x+2.

So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,

i.e. f(g(x)) = f(x+2)

i.e. f(g(x)) = 7 × (x+2) + 13

i.e. f(g(x)) = 7x + 14 + 13

i.e. f(g(x)) = 7x + 27

Thus, f(g(x)) = 7x + 27