SOLUTION: Find the linear function satisfying the given conditions. The x intercept and y intercept of the inverse function are 3 and -1.find f(x)

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Question 665708: Find the linear function satisfying the given conditions. The x intercept and y intercept of the inverse function are 3 and -1.find f(x)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
first find the equation of the inverse function using given points:
The x-+intercept: (3,0)
The y-+intercept:(0,-1)

Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (3, 0) and (x2, y2) = (0, -1).
Slope a is .
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 0.333333333333333%2A3+%2Bb+=+-1. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=0-0.333333333333333%2A3+=+-1.

y=(0.333333333333333)x + (-1)

Your graph:




now find the inverse function of the given inverse function which would be original function
to find the inverse, switch the places of y and x and simplify
y=0.33x+-1
x=0.33y+-1
x%2B1=0.33y+
%281%2F0.33%29x%2B1%2F0.33=y+
y=3.03x%2B3.03 -- that is your original function

+graph%28+600%2C600%2C+-10%2C+10%2C+-10%2C+10%2C+0.33x+-1%2C+3.03x%2B3.03%29+