SOLUTION: Please help me solve theses problems: Let f(x)= x^2+2 and g(x)=x+1 a)f(2)= b)g(x)=7 c)f(g(3))= d)g(f(x))= e) f^-1(x)=

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Question 933421: Please help me solve theses problems: Let f(x)= x^2+2 and g(x)=x+1
a)f(2)=
b)g(x)=7
c)f(g(3))=
d)g(f(x))=
e) f^-1(x)=

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Please help me solve theses problems: Let f(x)= x^2+2 and g(x)=x+1
a)f(2)=
f(x) = x^2+2
Wherever there's an x, replace it with 2
f(2) = 2^2 + 2 = 4+2 = 6
Couldn't be much simpler.
-----
b)g(x)=7
Same as a
==============
c)f(g(3))
Sub 3 for x in g(3), then sub the result in f(x)
---------------
d)g(f(x))
Same as c.
------------------
e) f^-1(x)
This one is different.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Let and
a)=



b)




c)=
first find

...plug it in for in



or






d)=



e) =
....since we have
...swap and
...solve for


so,





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