Composition of Logarithmic and Exponential Functions
Finding the composition of two functions with exponentials and logarithms
Function Composition with a Rational Function
Author: Doan Nguyen
The following problem is solved in this video. It is recommended that you try to solve the problem before watching the video. You can click "Reveal Answer" to reveal the answer to the problem.
Problem: Find the composition of \(g\) with \(h,\) given \(g(x)=\frac{x}{x^2+1}\) and \(h(x)=x^2+2.\)
\((g \circ h) (x)=\dfrac{x^2+2}{x^4+4x^2+5}\)
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Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
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Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions