SOLUTION: f of g(x) and g of f(x)where f(x)=x2 the x is supposed to be squared and g(x)= x-3 next part of same problem is the domain of f of g and the domain of g of f

Question 418015: f of g(x) and g of f(x)where f(x)=x2 the x is supposed to be squared and g(x)= x-3 next part of same problem is the domain of f of g and the domain of g of f
Answer by tinbar(133) (Show Source): You can put this solution on YOUR website!
f(g(x)) = f(x-3) = (x-3)^2 = x^2-6x+9
g(f(x)) = g(x^2) = (x^2)-3
domain for f(g(x)): First we need the domain for g(x) which is all Real numbers since we can subtract 3 from any x in R(set of Real Numbers). Next, out of all these numbers, we can square any of them, therefore the domain of f(g(x)) is the entire set of Real numbers
domain for g(f(x)): Similar argument as the first one, resulting in the same domain
RELATED QUESTIONS
For the pair of functions, find f(g(x)) and g(f(x)). F(x)=3x, g(x)=x... (answered by stanbon)

Find functions f and g so that the composition of f and g is H. H(x) = |4 - 3x^2|... (answered by josgarithmetic)

For f(x) = x2 � 64 and g(x) = 2x + 3, what is the domain of f -... (answered by robertb)

For f(x) = x2 - 16 and g(x) = 2x + 3, what is the domain of g/f? Show all... (answered by josgarithmetic)

What is the domain of f(x)-g(x) when f(x)=x^2 and... (answered by fractalier)

3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)

Finding (f*g)(x) and (g*f)(x) and the domain of the following. f(X)= squared root of... (answered by solver91311)

Question:3.4/4 f(x)=x2-x-6 g(x)=x−3 Find (f/g)(x)= The domain of... (answered by MathLover1)

6. a) Given f(x) = log(x) and g(x) = 1/𝑥+3, identify the steps you would take to... (answered by greenestamps)