Question

Complete the table.

y = f(g(x))
u = g(x)
y = f(u)
y = 8 tan(itx5) u =
I
y = 8 tan u

Answer 1

9514 1404 393

Answer:

1. u = x +14
2. u = πx^5

Explanation:

I find it easiest to match the patterns. You could also work this by finding inverse functions.

1.

`y=u^(-1/2)\\\\y=(1)/(√(u))=(1)/(√(x+14))\\\\u=x+14 \qquad\text{match radical contents}`

__

2.

`y=8tan(u)=8tan((\pi x^5))\\\\u=\pi x^5 \qquad\text{match tangent arguments}`