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

[trevor]

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)

 

[Joppy]

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? :)

 

[trevor]

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

I am clueless

 

[Monoxdifly]

(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?