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Math / Algebra / Grade 11 / mlbd2

Apply the Inner Function First - Practice 1

In f(g(x)), apply g to x first, then use that result as the input of f.

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In f(g(x)), apply g to x first, then use that result as the input of f. Reversing the order can produce a different answer.

Worked example

If g(x) = x + 3 and f(x) = 2x, then f(g(4)) = f(7) = 14.

If g(x) = x + 3 and f(x) = 2x, then f(g(4)) = f(7) = 14.
Worked model: If g(x) = x + 3 and f(x) = 2x, then f(g(4)) = f(7) = 14.
Question 1 Let g(x) = x + 3 and f(x) = 2x. What is f(g(-4))?
Question 2 Let g(x) = x + 3 and f(x) = 2x. What is f(g(-3))?
Question 3 Let g(x) = x + 3 and f(x) = 2x. What is f(g(-2))?
Question 4 Let g(x) = x + 3 and f(x) = 2x. What is f(g(-1))?
Question 5 Let g(x) = x + 3 and f(x) = 2x. What is f(g(0))?