Given the parent functions f(x) = 5x –1 and g(x) = 3x –9, what is g(x) –f(x)?
2 answers:
Answer: 
Step-by-step explanation:
Given parent functions : 
Then ,
![g(x)-f(x)=3x-9-(5x-1)\\\\\Rightarrow g(x)-f(x)=3x-9-5x+1\ \ \text{[Open brackets]}\\\\\Rightarrow g(x)-f(x)=3x-5x-9+1\ \ \text{[Combine like terms]}\\\\\Rightarrow g(x)-f(x)=-2x-8](https://tex.z-dn.net/?f=g%28x%29-f%28x%29%3D3x-9-%285x-1%29%5C%5C%5C%5C%5CRightarrow%20g%28x%29-f%28x%29%3D3x-9-5x%2B1%5C%20%5C%20%5Ctext%7B%5BOpen%20brackets%5D%7D%5C%5C%5C%5C%5CRightarrow%20g%28x%29-f%28x%29%3D3x-5x-9%2B1%5C%20%5C%20%5Ctext%7B%5BCombine%20like%20terms%5D%7D%5C%5C%5C%5C%5CRightarrow%20g%28x%29-f%28x%29%3D-2x-8)
Hence, for the given parent function f(x) and g(x), 
g(x) –f(x) = 3x –9 - (<span>5x –1)
</span> g(x) –f(x) = 3x –9 - 5x + 1
g(x) –f(x) = -2x - 8
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hope it helps
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