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If f(x)=2x−1, show that f(f(x))=4x−3. Find f(f(f(x))).

User Yosra
by
7.1k points

1 Answer

3 votes

Answer: f(f(f(x)) = 8x - 7

Explanation:

f(f(x)) means that we are evaluating f(x) with itself, then if f(x) = 2x - 1

f(f(x)) = 2*f(x) - 1 = 2*(2x - 1) - 1 = 4x - 2 - 1 = 4x - 3

f(f(x)) = 4x - 3

Then, we have f(f(f(x)) = 4*f(x) - 3

= 4*(2x - 1) - 3 = 8x - 4 - 3 = 8x - 7

User KommradHomer
by
6.1k points
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