Question

Let f(x) = Ax + B and g(x) = Cx + D where A, B, C, and D are non-zero constants. Find the vertical intercept of f(g(x)). Do not write your answer as a point.

Answer 1

your idea?

Answer 2

I have solved f(g(x)) = A(Cx+D)+B, and I assumed the vertical intercept would just be B. However, that was a wrong answer.

Answer 3

Of course, it is wrong. hihihi

Answer 4

now open it : f(g(x))= A(Cx +D)+B= ACx +AD +B
See it now??

Answer 5

In that case, would you have to plug in 0 for x, which makes it: f(g(x)) = AD+B
Making the vertical intercept: f(g(x)) - AD = B?

Answer 6

your plugging in is ok, but the conclusion is not good. It should be: "the vertical intercept of f(g(x)) is at y = AD+B

Answer 7

Oh, so the way you conclude the problem matters. Thank you so much, that was the accepted answer!