Question

Given: f(x) = 3x + 2 and g(x) = 2x - 4

Answer 1

Answer:

ƒ(g(x)) = 6x^2-12x+2

Step-by-step explanation:

ƒ(x)=3x+2

g(x)=2x-4

ƒ(2x-4)= 3x(2x-4)+2

ƒ(2x-4)=6x^2-12x+2

ƒ(2x-4)=6x^2-12x+2

Answer 2

In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:

f(g(x)) = 3(2x - 4) + 2

f(g(x)) = 6x - 12 + 2

f(g(x)) = 6x - 10