F(x) = x2-7 and g(x) = x- 3, find (f º g )(x) [2]

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SUMMARY

The discussion focuses on the composition of functions, specifically finding (f º g)(x) and (g º f)(x) for the functions f(x) = x² - 7 and g(x) = x - 3. The composition (f º g)(x) is defined as f(g(x)), which translates to substituting g(x) into f(x), resulting in (x - 3)² - 7. The participants also explore the inverse functions f⁻¹(x) and g⁻¹(x), emphasizing the need to clarify the relationship between these functions.

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trevor
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Let f(x) = x2-7 and g(x) = x- 3
Find:
i. (f º g )(x) [2]
ii. (g º f) (x) [2]
iii. f-1 (x) = g-1(x)
 
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trevor said:
Let f(x) = x2-7 and g(x) = x- 3
Find:
i. (f º g )(x) [2]
ii. (g º f) (x) [2]
iii. f-1 (x) = g-1(x)

Hi trevor. What have you tried so far? :)
 
Joppy said:
Hi trevor. What have you tried so far? :)

I am clueless
 
(f o g)(x) means f(g(x)). That means, you replace the value in f(x) with g(x), thus your x2 - 7 will become (g(x))2 - 7. Can you continue from here?
 

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