Question

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

Answer 1

Answer:

x = 2

Step-by-step explanation:

f(x) = 3x - 2

fog(x) = 6x - 2

fog(x) = f(g(x)) = 3(g(x)) - 2

3(g(x)) - 2 = 6x - 2

=> 3(g(x)) = 6x

so, g(x) = 6x/3 = 2x

Now, gof(x) = 2(3x - 2 ) = 6x - 4

Now,

gof(x) = 8

so, 6x - 4 = 8

=> 6x = 8 +4 = 12

so, x = 12/6 = 2

Provided by GauthMath.