SOLUTION: This is seventh grade math, inverse operations. I know the function for linear equations is y=k/x . the question I am having trouble with is exactly as written: f(x)=4/x graph

Algebra ->  Linear-equations -> SOLUTION: This is seventh grade math, inverse operations. I know the function for linear equations is y=k/x . the question I am having trouble with is exactly as written: f(x)=4/x graph       Log On


   



Question 256235: This is seventh grade math, inverse operations. I know the function for linear equations is y=k/x . the question I am having trouble with is exactly as written: f(x)=4/x graph the inverse variation function. what is "f" ? I know I have to come up with examples using the function to graph the annswers. Please help me step by step.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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I know the function for linear equations is y=k/x . the question I am having trouble with is exactly as written: f(x)=4/x graph the inverse variation function. what is "f"
:
f(x) = y, so write the equation
y = 4/x
To find the inverse, swap x and y and solve for y
x = 4/y
Multiply both sides by y
xy = 4
divide both sides by x
y = 4/x, which means the inverse is the same as the original equation
:
The graph
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+4%2Fx%29+