If f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is
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Answer:
Step-by-step explanation:
The expression to transform is:
Let's work first on the inside of the parenthesis.
Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:
Therefore
Now let's replace with
which is the algebraic form we are given inside the 6th root:
Now use the property that tells us how to proceed when we have "exponent of an exponent":
Therefore we get:
Finally remember that this expression was raised to the power 7, therefore:
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An use again the property for the exponent of a exponent: