Question

for what value(s) of (a) the function a^x and y=1+x tangent at x=0

Answer 1

Uhm, I don't understand - can you reword that please?

Answer 2

when is y=A^x tangent to Y=1+x at x=0

Answer 3

the derivativ of a^x is a^x ln(a) at zero is ln(a)
Now ln(a) must be equal to the slope of y=x+1
so
\[
\ln(a) =1\\
a=e
\]

Answer 4

oh, duh.... (slap myself on the head)... good job @eliassaab .