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1. Given f(x) = 12x²-8x+4 and g(x) = 6x²+3x-9. Evaluate (f-g) x. 2. Given f(x) = 6x³ +7x²-5 and g(x) = -3x² +9. Evaluate (f+g) x. 3. Given f(x) = 3x-5 and g(x)= x+2. Evaluate f(g(x)).

1. Given f(x) = 12x²-8x+4 and g(x) = 6x²+3x-9. Evaluate (f-g) x. 2. Given f(x) = 6x³ +7x²-5 and g(x) = -3x² +9. Evaluate (f+g) x. 3. Given f(x) = 3x-5 and g(x)= x+2. Evaluate f(g(x)).

Advanced Engineering Mathematics
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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Operations on Function. 1. Given f(x) = 12x²-8x+4 and g(x) = 6x²+3x-9. Evaluate (f-g) x. 2. Given f(x) = 6x³+7x²-5 and g(x) = -3x²+9. Evaluate (f+g) x. 3. Given f(x) = 3x-5 and g(x) = x+2. Evaluate f(g(x)). 4. Given f(x) = 3x-6 and g(x) = x-2. Evaluate f(x)/g(x). 5. Given f(x) = 9x-5 and g(x) = -x+4. Evaluate f(x) · g(x). 6. Given f(x) = x²+3x+2 and g(x)=x²-x-6. Evaluate f(x)/g(x). 7. Given f(x) = 6x²+2x-5 and g(x) = 6x²+3x+1. Evaluate (f-g) x. 8. Given f(x) = 3x³ +6x+13 and g(x) = 2x-5. Evaluate (f+g) x. 9. Given f(x) = 2x+1 and g(x)=x²-5x+6. Evaluate f(x) g(x). 10. Given f(x)=x²-5 and g(x) = 3x+5. Evaluate f(g(x)).
Transcribed Image Text:Operations on Function. 1. Given f(x) = 12x²-8x+4 and g(x) = 6x²+3x-9. Evaluate (f-g) x. 2. Given f(x) = 6x³+7x²-5 and g(x) = -3x²+9. Evaluate (f+g) x. 3. Given f(x) = 3x-5 and g(x) = x+2. Evaluate f(g(x)). 4. Given f(x) = 3x-6 and g(x) = x-2. Evaluate f(x)/g(x). 5. Given f(x) = 9x-5 and g(x) = -x+4. Evaluate f(x) · g(x). 6. Given f(x) = x²+3x+2 and g(x)=x²-x-6. Evaluate f(x)/g(x). 7. Given f(x) = 6x²+2x-5 and g(x) = 6x²+3x+1. Evaluate (f-g) x. 8. Given f(x) = 3x³ +6x+13 and g(x) = 2x-5. Evaluate (f+g) x. 9. Given f(x) = 2x+1 and g(x)=x²-5x+6. Evaluate f(x) g(x). 10. Given f(x)=x²-5 and g(x) = 3x+5. Evaluate f(g(x)).
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