Respuesta :

we have given that [tex] f(x)=2^x. [/tex].

we need to find [tex] f(t). [/tex].

we know that we need to plug t in place of x in the equation f(x)=2^x.

[tex] f(t)=2^t [/tex] .for example for [tex] f(4)=2^4 [/tex]

they have plugged 4 in place of x. so we plug in plug t in place of x .

Well, they are just plugging the x in and evaluating the exponent. Here's what the answers would be:

[tex] f(1)=2^1=2\\
f(3)=2^3=8\\
f(t)=2^t [/tex]

For the last one, it's no different then having an x there. t is just a variable as x is.