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Higher Maths Functions Help?
The question says; "Obtain the formula for i) f(g)x)) and ii) g(f(x)) when f(x) = 3x-1 and g(x) = 2x+5."
Can anyone tell me how to solve this question or tell me the steps I will need to take to solve this question?
1 Answer
- Anonymous9 years agoFavorite Answer
fg(x) means f(2x+5). This means you replace x by 2x + 5 in your expression for f.
Instead of 3x + 5 we get 3(2x + 5) - 1, which is 6x + 10 - 1, giving 6x + 9.
Similarly, for gf(x), replace x by 3x - 1 in your expression for g.
We get 2(3x-1) + 5, which is 6x - 2 + 5, ie 6x + 3.
Hope this is clear!