Question

Given the parent functions f(x)=5x-1 and g(x)=3^x-9, what is g(x)-f(x)?

Answer 1

g(x) - f(x) = 3x - 9 -(5x - 1) = 3x - 9 -5x + 1 = -2x - 8

Answer 2

Answer: The required value of g(x) - f(x) is
`5x-3^x+8.`

Step-by-step explanation: We are given the following two functions :

`f(x)=5x-1,\\\\g(x)=3^x-9.`

We are to find the value of g(x) - f(x).

We have

`f(x)-g(x)\\\\=(5x-1)-(3^x-9)\\\\=5x-1-3^x+9\\\\=5x-3^x+8.`

Thus, the required value of g(x) - f(x) is
`5x-3^x+8.`