Question

(07.09) Given the functions f(x) = 10x + 25 and g(x) = x + 8, which of the following functions represents f[g(x)] correctly? f[g(x)] = 10x + 33 f[g(x)] = 10x2 + 33 f[g(x)] = 10x + 105 f[g(x)] = 10x2 + 105

Answer 1

f[g(x)] = 10x + 105

Explanation:

Substitute g(x) for x in the definition of f(x).

f(g(x)) = 10(g(x)) +25 = 10(x+8) +25 = 10x +80 +25

... = 10x +105