find-f-g-x-and-g-f-1-x-if-f-x-5x-and-g-x-x-7-a-f-g-x-x-35-5-g-f-1-x-x-5-7b-f-g-x

Question

Find (f ○ g)¯¹(x) and (g¯¹ ○ $$f^{-1})(x) if f(x) = 5x $$and g(x) = x - 7.

Accepted Answer

(f ○ $$g)^{-1}(x) = (x + 35)/5$$, $$(g^{-1}$$ ○ $$f^{-1})(x) = x/5 + 7$$

Answer

(f ○ $$g)^{-1}(x) = x + 28$$, $$(g^{-1}$$ ○ $$f^{-1})(x) = x/3 + 4$$

Answer

(f ○ $$g)^{-1}(x) = 3x + 5$$, $$(g^{-1}$$ ○ $$f^{-1})(x) = (x + 5)/2$$

Answer

(f ○ $$g)^{-1}(x) = x/7 + 2$$, $$(g^{-1}$$ ○ $$f^{-1})(x) = (x + 1)/3$$

Find (f ○ g)¯¹(x) and (g¯¹ ○ f-1)(x) if f(x) = 5x and g(x) = x - 7.