Question

What is the value of f[g(3)] for the functions f(x) = x + 3 and g(x) = 2x + 1? (Type only the value of your final answer, no variables.)

Answer 1

So you would start with the inside function first g(3)..so given the g(x)=2x+17 what would g(3) equal?

Answer 2

Uh I dont know? Infinite??

Answer 3

The 3 in g(3)means you substitute 3 for x in the equation 2x+17 so what would g(3) be?

Answer 4

2*3+17??? because you said to substitute right?

Answer 5

Correct and that equals what?

Answer 6

23?

Answer 7

Correct so we now know that for g(3) = 23. This is our inside function. nOw we need to solve for our outside function which is f(x). So if we have f(g(3)) and we know that g(3) = 23 then f(g(3) would be f(23) and we would plug 23 into for f(x) equation f(x)=x+3..what is your final answer.

Answer 8

23=x+3?