Question 1208022
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I'll go over a similar example.


Problem<font color=blue><pre>
Given f(4) = 5
Find a point on g(x) = 2*f(3x+1) + 7
</pre></font>Solution


Compare f(4) with f(3x+1)
Equate the inputs and solve for x.
4 = 3x+1
3x = 4-1
3x = 3
x = 3/3
x = 1
Therefore x = 1 leads to 3x+1 = 4.
If x = 1 then f(3x+1) = f(4) = 5.


Then,
g(x) = 2*f(3x+1) + 7
g(1) = 2*f(3*1+1) + 7
g(1) = 2*f(4) + 7
g(1) = 2*5 + 7
g(1) = 10 + 7
g(1) = 17
We have shown that (1,17) is on g(x).
Keep in mind this is likely not the final answer to your particular question, but you can use it as a template to solve.
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