Let f (x) = 3x2 - x 2 and g (x) = 5x2 - 1. Find f (g (x)). Show each step of your work.

Question

Tyrell Kramer

Mathematics

22 January, 12:15

Let f (x) = 3x2 - x 2 and g (x) = 5x2 - 1. Find f (g (x)). Show each step of your work.

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Answers (1)

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Jamir Callahan · Answer 1

Easy, sub g (x) for x in f (x)

f (g (x)) = 3 (g (x)) ^2 - (g (x)) ^2

g (x) = 5x^2-1

f (g (x)) = 3 (5x^2-1) ^2 - (5x^2-1) ^2=

3 (25x^4-10x^2+1) - (25x^4-10x^2) =

2 (25x^4-10x^2+1) =

50x^4-20x^2+2

f (g (x)) = 50x^4-20x^2+2