Question

Given the functions f(x) = 10x + 25 and g(x) = x + 8, which function represents f[g(x)] correctly?

A.) f[g(x)] = 10x + 33
B.) f[g(x)] = 10x2 + 33
C.) f[g(x)] = 10x + 105
D.) f[g(x)] = 10x2 + 105

Answer 1

f(g(x))

= f (x + 8)

= 10(x + 8) + 25

= 10x + 80 + 25

= 10x + 105

= C

Answer 2

`f(x)=10\underline{x}+25 \\ \\ g(x)=\underline{x+8} \\ \\ f[g(x)] = 10\underline{(x+8)}+25 = 10x + 80 + 25 = \boxed{10x +105} \\ \\ \boxed{\text{Correct ansver: C }}`