Question

For the real-valued functions $g(x) = \sqrt{2x + 10}$ and $h(x) = x - 1$, find the composition $g \circ h$ and specify its domain using interval notation.

Name: For the real-valued functions g(x) = √(2x + 10) and h(x) = x - 1, find the composition g ∘ h and specify its domain using interval notation.
Uploaded: 2023-04-01T01:43:37-08:00
Duration: 1 min 29 s
Channel: Kathleen Carty
Description: For the real-valued functions g(x) = √(2x + 10) and h(x) = x - 1, find the composition g ∘ h and specify its domain using interval notation.

          For the real-valued functions $g(x) = \sqrt{2x + 10}$ and $h(x) = x - 1$, find the composition $g \circ h$ and specify its domain using interval notation.

Added by Daniela P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Kathleen Carty

04/01/2023

Step 1

(g o h)(x) = g(h(x)) = g(x-1) = \sqrt{2(x-1)+10} Show more…

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For the real-valued functions g(x)=sqrt{2x+10} and h(x)=x-1, find the composition g o h and specify its domain using interval notation. (g o h)(x)=sqrt{2(x-1)+10} Domain of g o h: (-infty, infty) For the real-valued functions g(x)=sqrt{2x+10} and h(x)=x-1, find the composition g o h and specify its domain using interval notation. (g o h)(x)=sqrt{2(x-1)+10} Domain of g o h: (-infty, infty)