Question

if f(x)=3x-2 and f°g(x)=6x-2 then find the value of x such that g°f(x)=8​

Answer 1

Answer:

Step-by-step explanation:

Given:

f(x) = 3x - 2

fog(x) = 6x - 2

To find: g(x) = ?

Now,

Let g(x) = y then,

∴ fog(x) = 6x - 2

⇒ f(g(x)) = 6x - 2

⇒ f(y) = 6x - 2

⇒ 3y - 2 = 6x - 2

⇒ 3y = 6x - 2 + 2

⇒ 3y = 6x

⇒ y = 6x/3

∴ y = 2x

Hence, The required value of g(x) is 2x.