1.) Find the inverse of the function f(x)=3x+9. 2.) A function, f(x)=x, has a vertex of (0,0). What is the vertex of g(x)=3|x-4|+1? 3.) What is the domain and range of the function f(x)=3(1/2)^x?
1) For f(x) = 3x + 9, we can rewrite as y = 3x + 9 and the reverse the x and y, which yields x = 3y + 9. If we solve for y, we'll have the inverse function.
x = 3y + 9
x - 9 = 3y
y = 1/3x - 3
2) I'm not sure what the question is here. The statement f(x) = x is the same as saying y = x. While y = x does not have a vertex as it is a line, 0,0 is a point on the line.
To find the vertex of g(x)=3|x-4|+1: we can find the vertex by identifying the smallest possible...
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