Range of composite functions

[ninbam1k]

Okay, so I get that the domain of the composite function is the domain of the inside function, but I don't get how you derive the range of the function.

EG.

f(x) = x^2 +4x -5                                                              g(x) = e^x

Determine the range of f(g(x))

(btw theres no restricted domain)

HELP PLEASE 

[toshibaj]

First find f(g(x)) then sketch it on the side. btw your example doesn't work coz f(g(x)) isn't a graph that we're supposed to know how to work with.

[ninbam1k]

it was question 5 from the itute 2010 paper :/

[TrueTears]

the general tactic in dealing with these in methods is to sketch the graphs.

there are definitely better ways, but you don't need to know those for methods...

[JinXi]

I think you gonna have to determine the range from the new equation, using your given domain.

[ninbam1k]

thanks simo ^^ itute 2010 was pretty :/

[TrueTears]

haha yeah, ignore itute... they're worse than TSFX