Back to 3.4 Composition of Functions

3.4 Exercise 48

Avg difficulty 2.5

Use each set of functions to find f( g( h(x) ) ). f \left(g \left(h \left(x\right)\right)\right) . Simplify your answers.

For f(x)= 1 x f \left(x\right) = \frac{1}{x} and g(x)= x−1 , g \left(x\right) = \sqrt{x - 1} , write the domain of (f∘g)(x) \left(f \circ g\right) \left(x\right) in interval notation.

OpenStax Algebra and Trigonometry 2e, 3.4 Composition of Functions, exercise 48

AI Tutor

Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.