If f : R → R and g : R → R are two functions defined by f x = a x + b a ≠ 0 ∀ x ∈ R and g x = c x 3 + d c ≠ 0 ∀ x ∈ R , then f o g - 1 x =

Question

If f : R &#8594; R and g : R &#8594; R are two functions defined by f x = a x + b a &#8800; 0 &#8704; x &#8712; R and g x = c x 3 + d c &#8800; 0 &#8704; x &#8712; R , then f o g - 1 x =

Aicharya · Accepted Answer

Given, f x = a x + b and g x = c x 3 + d f o g x = f g x f o g x = a g x + b = a c x 3 + d + b Let, y = a c x 3 + a d + b x 3 = y - a d - b a c x = y - a d - b a c 1 3 Hence, f o g - 1 x = x - a d - b a c 1 3

If f : R → R and g : R → R are two functions defined by f x = a x + b a ≠ 0 ∀ x…

Solution

If f : R &#8594; R and g : R &#8594; R are two functions defined by f x = a x + b a &#8800; 0 &#8704; x…

Solution

If f : R → R and g : R → R are two functions defined by f x = a x + b a ≠ 0 ∀ x…