SOLUTION: Please help me with this question. Thank you!
a) Given the functions f(x) = x + 2 and g(x) = 3^x, determine an equation for (f ∘ g)(x) and (g ∘ f)(x).
b) Determine f(g(3)) an
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Question 1162538: Please help me with this question. Thank you!
a) Given the functions f(x) = x + 2 and g(x) = 3^x, determine an equation for (f ∘ g)(x) and (g ∘ f)(x).
b) Determine f(g(3)) and g(f(3)).
c) Determine all values of x for which f(g(x)) = g(f(x)).
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
a)
Follow the same procedure to find
b) Write the two expressions in pencil. Erase every instance of
and write
in place of every
. Do the arithmetic.
c) Set
and solve for x.
\ -\ \log_3(4)\ =\ -\log_3(4)\ =\ -\frac{\ln(3)}{\ln(4)}\ \approx\ -1.2619)
John

My calculator said it, I believe it, that settles it

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
and
determine an equation for:
a.
( ∘ )() =
and
(∘ )()=
b. Determine and .
first
c) Determine all values of for which .
....evidently, one solution is
verify:
->true
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