I don’t know how to do this problem and I need help can u help me plz

Question

F(x)=2^x

g(x)=2x-4

Answer 1

To compare these functions, graph then and check their value tables. You will see that for the same values of x, f(x) is growing faster than g(x).

g(x) has a constant rate of change (slope m = 2), it is an arithmetic sequence, a linear function

f(x) is an geometric sequence, where the consecutive values of y are multiplied by 2. (it is exponential growth)

Answer 2

Hi Checho, if the problem wants you to find the composite function F(g(x)) then proceed as follows: Since function F raises 2 to the "x" power, that means whatever function F "sees" becomes the exponent. Therefore, F(g(x)) becomes F(2x-4) = 2^(2x-4) = 2^2x divided by 2^4. But 2^2x = 4^x and 2^4 = 16. So the result is: 4^x/16 though there are equivalent expressions. I recommend checking your answer by trying at least two values of x.

Hope this helps.

Robert