SOLUTION: Consider the functions: f(x)=x^2+4 g(x)=x Find f(g(x)) f(g(1)) find f(2g(x)) What is the inverse of f(x)? What is the inverse of g(x)? Can Someone please help

Question 1021484: Consider the functions:
f(x)=x^2+4
g(x)=x
Find f(g(x))
f(g(1))
find f(2g(x))
What is the inverse of f(x)?
What is the inverse of g(x)?
Can Someone please help me with this question. I am supposed to provide the calculations.
Thanks
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

the inverse of :If f had an inverse, then its graph would be the reflection of the graph of f about the line .
since we have
............swap and
.........solve for

so, the inverse is

the inverse of is

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