1. Determine an expression and the domain for h(x) for the following expressions. [8K] a) f(x) = 3x², g(x)=x-1, h(x)=f(x)+g(x) b) f(x)=2x² + x, g(x)=x²+1, h(x)=(f-g)(x) 4 d) f(x)=x²-x², g(x)=x+1, h(x)=(g/f)(x) c) f(x) = sinx, g(x)=, h(x)-g(f(x))
1. Determine an expression and the domain for h(x) for the following expressions. [8K] a) f(x) = 3x², g(x)=x-1, h(x)=f(x)+g(x) b) f(x)=2x² + x, g(x)=x²+1, h(x)=(f-g)(x) 4 d) f(x)=x²-x², g(x)=x+1, h(x)=(g/f)(x) c) f(x) = sinx, g(x)=, h(x)-g(f(x))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1. Determine an expression and the domain for h(x) for the following expressions. [8K]
a) f(x) = 3x², g(x)=x-1, h(x)=f(x)+g(x)
b) f(x)=2x² + x, g(x)=x²+1, h(x)=(f-g)(x)
4
d) f(x)=x²-x², g(x)=x+1, h(x)=(g/f)(x)
c) f(x) = sinx, g(x)=, h(x)-g(f(x))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25c287ce-9ffa-4f99-81f8-51689c99f73d%2Fdf1e2f86-c78d-4c40-8fbe-4f3cacc88315%2F53337jk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Determine an expression and the domain for h(x) for the following expressions. [8K]
a) f(x) = 3x², g(x)=x-1, h(x)=f(x)+g(x)
b) f(x)=2x² + x, g(x)=x²+1, h(x)=(f-g)(x)
4
d) f(x)=x²-x², g(x)=x+1, h(x)=(g/f)(x)
c) f(x) = sinx, g(x)=, h(x)-g(f(x))
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