Homework Help: calculus

Posted by perlas on Sunday, June 5, 2011 at 6:04pm.

given the functions f(x) = sqrt x+1 and g(x) = 6x+a in the xy coordinate plane, y= f[g(x)] passes through the point (3,5) . what is the value of a ?

calculus - Reiny, Sunday, June 5, 2011 at 6:13pm
I somehow think you meant
f(x) = √(x+1)

then f(g(x)) = √((6x+a) + 1)
if (3,5) lies on it

5 = √(18+a + 1)
25 = a + 19
a = 6

If you meant f(x) = √x + 1
then follow the same steps as above.

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