Write a linear function ff with f(4)=−3f(4)=−3 and f(0)=−2f(0)=−2

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24-11-2017
Mathematics

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Write a linear function ff with f(4)=−3f(4)=−3 and f(0)=−2f(0)=−2

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W0lf93 W0lf93 · Answer 1 · 2017-12-06T12:44:49+01:00

W0lf93 W0lf93

06-12-2017

The line goes through the points (4,-3) and (0,-2), so its gradient is (-2-(-3))/(0-4) = -1/4. The y-intercept is -2 because f(0)=-2. So the equation of the line is y = -1/4 x - 2.This can be represented by the linear function f(x) = (-1/4)x - 2. The composite function ff is given by ff(x) = f(-1/4 x - 2) = (-1/4)((-1/4)x - 2) - 2 = x/16 - 3/2.

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