Best Answer

f(x) = -2x + 1; g(x) = -4x; g(f(4)) = ?

Solution:

(g ° f)(4) = g(f(4)) = g(-7) = 28

f(x) = -2x + 1

f(4) = -2(4) + 1

f(4) = -7

g(x) = -4x

g(-7) = -4(-7)

g(-7) = 28

Q: If fx -2x 1 and gx -4x then gf4?

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Since g(x) is known, it helps a lot to find f(x). f(g(x)) is a new function composed by substituting x in f with g(x). For example, if g(x) = 2x + 1 and f(g(x)) = 4x2+ 4x + 1 then you you recognize that this is the square of the binomial 2x + 1, so that f(g(x)) = (f o g)(x) = h(x) = (2x + 1)2, meaning that f(x) = x2. if you have a specific example, it will be nice, because there are different ways (based on observation and intuition) to decompose a function and write it as a composite of two other functions.

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