Asked by Lou
Let f(x) be the function
f(x)={x2−c for x<4,
{3x+4c for x≥4.
Find the value of c that makes the function continuous.
f(x)={x2−c for x<4,
{3x+4c for x≥4.
Find the value of c that makes the function continuous.
Answers
Answered by
Damon
x^2-c and 3 x + 4 c
must be the same on both sides when x = 4
16 - c = 12 + 4 c
4 = 5 c
c = 4/5
must be the same on both sides when x = 4
16 - c = 12 + 4 c
4 = 5 c
c = 4/5
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