4. What is f(a + b) if ƒ(x) = 3x² – 2x + 55. Given the piecewise functionif x≤3f(x) =2x+1,3x²+2x, if x>3what is a.) f(-2), b.) f(6)6. Given the piecewise function2x² +1,f(x) = -3x²+x, if x≤4if x>4what is a.) f(2), b.) f(5)

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Answered: 4. What is f(a + b) if f(x) = 3x² − 2x…

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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Write the function as a composition of two functions. 2 3-(x²+6x)³-3(x²-6x)³+6 y= (x²+6x)³-3(x²+6x) ³ +6 Choose the correct answer below. ○ A. If f(x) = x²+6x and g(x)=x ов. о с. 1 2 1 2/3 3x3 +6, then y f[g(x)]. 2 If f(x)=x -3x3 +6 and g(x)=x+6x, then y = f[g(x)]. 3 3 2 2 If f(x)=x³-3x² +6 and g(x) = x²+6x, then y = f[g(x)]. 1 OD. If f(x) = 6x³ 2 -18x3 +6 and g(x) = x², then y = f[g(x)].
2. -6 -10 For the given function, determine consecutive values of x between which each real zero is located. 22. Ax) = -7x*- 8x-4x+ 8x + 12
1a. f(x)=−x^2 ; g(x)=x−3Find the expressions for f∘g and g∘f and give their domains.(f∘g)(x)=Domain (in interval notation): (g∘f)(x)=Domain (in interval notation): 1b. f(x)=√x−2 ; g(x)=3x+1Find the expressions for f∘g and g∘f and give their domains.(f∘g)(x)=Domain (in interval notation): (g∘f)(x)=Domain (in interval notation): 1c. f(x)=|x| ; g(x)=x/x−5Find the expressions for f∘g and g∘f and give their domains.(f∘g)(x)= Domain (in interval notation): (g∘f)(x)= Domain (in interval notation):
At each of the points (20, 2), (3, −6), (½, ½), evaluate the function h(x, y) = undefined there. h(20, 2) = (Use symbolic notation and fractions where needed. If the function is undefined at the given point, type UNDEFINED.) h(3,-6)= √x-y x-y h ( ²⁄², ½ ) = or indicate that the function is Question Source: Rogawski 4e Calculus Early Transcendentals

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4. What is f(a + b) if f(x) = 3x² − 2x + 5 5. Given the piecewise function if x≤3 f(x) = 2x+1, 3x²+2x, if x>3 what is a.) f(-2), b.) f(6) 6. Given the piecewise function 2x² +1, f(x) = -3x²+x, if x≤4 if x>4 what is a.) f(2), b.) f(5)