Which of the following functions is equivalent to the function below? Select two that apply. f(x)=32x+1 g(x)=(13)−(2x+1) g(x)=27x g(x)=3⋅9x g(x)=32x+3 g(x)=2⋅3x+1 g(x)=9x+1

Question

Which of the following functions is equivalent to the function below? Select two that apply. this is the function being asked if the others are equivalent to the rest of these functions, f(x)=32x+1 .

g(x)=(13)−(2x+1) , g(x)=27x g(x)=3⋅9x , g(x)=32x+3 , g(x)=2⋅3x+1, g(x)=9x+1

i do not know how to go about this, how do i solve this.

Answer 1

As tedious as it may sound, to solve this one needs to simplify all of the g(x)'s and see which ones equal f(x)

g(x)=(13)−(2x+1) = 13 - 2x - 1 = 12 - 2x (NOT equivalent to 32x+1)

g(x)=27x = 27x (NOT equivalent to 32x+1)

g(x)=3⋅9x = 27x (NOT equivalent to 32x+1, but it IS equivalent to the g(x) right above it)

g(x)=32x+3 = 32x + 3 (NOT equivalent to 32x+1, but it has the same slope as f(x))

g(x)=2⋅3x+1 = 6x + 1 (NOT equivalent to 32x+1)

g(x)=9x+1 = 9x + 1 (NOT equivalent to 32x+1)

So I cannot find any of the g(x)'s that are equivalent to f(x), but the 2nd and 3rd g(x) are equivalent to each other.