Place value into nested functions and solve

CONCEPTS

Nested Function Notations

• f (g (x) [standard notation]

• (f ∘ g)(x) = f (g (x))

• (f * g)(x) = (fg)(x) = f(x) * g(x)

Tips

• The sign, number, and units are all affected when placing a value into an expression

PRACTICE PROBLEMS

Question 1 What is f(g(5)) if g(x) = x + 4 & f(x) = x - 3?

-- Answer -- 6

f(g(5) = g(5) - 3 = (5 + 4) - 3 = 6

What is f(g(5)) if g(x)=x + 4 & f(x) = x - 3?

ACT PRACTICE PROBLEMS