Find Values of c and f that make h continuous

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To determine the values of c and d that make the function h continuous, limits at x=1 and x=2 must be evaluated and set equal. The equations derived from these limits are 2=c+d and 8=4c+d. The discussion reveals some confusion about solving these two linear equations. One participant expresses frustration over another's difficulty in solving basic algebraic equations. The conversation highlights the importance of understanding continuity in piecewise functions and solving simultaneous equations.
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Homework Statement


{ 2x if x<1
h(x)= { cx^2+d if 1<=x<=2
{ 4x if x>2


Homework Equations





The Attempt at a Solution


It tried taking the limit of 2x and cx^2+d at x->1 (from both sides) and set them equal to each other. I did the same for 2 as well, but i got stuck after that.
 
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What did you get after you did that??
 
After evaluating those 2 i get 2=c+d and 8=4c+d. I'm not quite sure what to do now
 
Painguy said:
After evaluating those 2 i get 2=c+d and 8=4c+d. I'm not quite sure what to do now

Are you saying that you do not know how to solve two simple linear equations in two unknowns? Have you really never, ever, seen problems like that before?

RGV
 
Ray Vickson said:
Are you saying that you do not know how to solve two simple linear equations in two unknowns? Have you really never, ever, seen problems like that before?

RGV

OH well I am blind...excuse my stupidity thank you for your help
 

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