Posted by **fatima** on Monday, September 24, 2012 at 3:57am.

suppoe f is a function with domain [1,3]and range[2,5]?

define functions g and h by g(x)=3f(x)and h(x)=f(4x)

what is domain and range of g

what is domain and range of h

I solved it and got it like this

domainof g=[1,3]and range of g=[3,9]

Domain of h=[4,12] and range of h=[2,5]

Is it correct

- precalculus check immediately -
**Steve**, Monday, September 24, 2012 at 10:32am
domain of f is also the domain of g and h, since they are defined as multiples of f.

since range of f = [2,5],

range of g = [3*2,3*5] = [6,15]

range of h is [4*2,4*5] = [8,20]

range of g is 3*range of f, not 3*domain of f

domain is the same for all, since g and h are defined for exactly the same values as f is.

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