If f (x) = x-2 and g (x) = 1/2x, find g (f (x))

Question

Dorian Vaughan

Mathematics

12 December, 02:22

If f (x) = x-2 and g (x) = 1/2x, find g (f (x))

+2

Answers (1)

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Alberto Schwartz · Answer 1

g (f (x)) = 1/2x - 1

Step-by-step explanation:

In order to find this, start with the outermost equation, which is g (x) in this function.

g (x) = 1/2x

Now we take the innermost equation and put it in for x in that first equation.

g (f (x)) = 1/2 (x - 2)

Now simplify.

g (f (x)) = 1/2x - 1