Note: For all the questions, provide detailed solution steps. Question 1. For the given functions f(x)...
please help!! For f(x) = x? and g(x)=x² +5, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog
For f(x) = 8x +4 and g(x) = x?, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The domain of fog is {x (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B....
This Question: 1 pt 1 of 2 (0 complete For fx)-9x + 6 and gx)x find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x)-□ (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The domain offog is (lD (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate...
3. (8 points, 4 points each) f(x)-2x - 1 and g(x)-3x + 4, are functions from R to R. Find a. fog b. gof
NOTE: Show all steps in your solutions. Only partial credit will be given if steps are not shown though the final answer is correct. 1. Show that the real and imaginary parts of the complex-valued function f(x) = cot z are sin 2.c sinh 2 u(x,y) = v(x,y) cos 2. - cosh 2y' cos 2. - cosh 2y (cot z = 1/tanz) [20 points) 2. Obtain the equilibrium points of the following system of 1st or- der ODE and classify...
NOTE: L Answer all questions and sub-questions. Bl. A neat detailed step-by-step answer to earn full credit. i. Partial credit given only if you show intermediate steps. iv. Even if the "final answer" is correct, I will check the steps 1. This question has 5 sub-questions. Answer all of them (35 POINTS) a. Is the following differential equation: i. Linear or non-linear? Why? ii. Time variant or time invariant? Why? b. In the following OP-AMP circuit: Find: HINT: Vacts as...
Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and f(x) * g() + x. n(x) = */7x +5 f(x)=0 and g(x)=0 Question 14 of 23 (1 point) The one-to-one function is given. Write an equation for the inverse function. 2 s(x) = х 3
*PLEASE SHOW ALL WORK AND STEP BY STEP SOLUTION* 7.+-/3 points MarsVectorCalc6 2.6.011. For the functions below, what is the direction of fastest increase at (1, 1, 1)? 8 (a) f(x, y 2) -2+ y2 +2 x2 + y2 + z2 (b) f(x, y, z)-2xy + 2yz + 2xz 8 (cx,2x2 + y2+ 2 2 + z2 7.+-/3 points MarsVectorCalc6 2.6.011. For the functions below, what is the direction of fastest increase at (1, 1, 1)? 8 (a) f(x, y...
help! Question 12 The function f(x)=x2-7 is one-to-one on the domain xs-7. Find $-+6). O None of the above 05-1(x) = VX2-7 of-'(x)= x2 +7 of-'(x)= - Vx2+7 of-'(x)=x2 +7 Of="«)= -VX2-7 Question 13 1 pts A diet requires at least 29 units of vitamin C and at least 30 units of vitamin B complex. Two food supplements are available that provide these nutrients, in the amounts and costs shown in the table below. How much of each should be...
This Question: 1 pt 15 of 22 (22 comp For the given functions fand g, complete parts (ahh). For parts (Hd), also find the domain f(x) = x - 7:6(x) = 2x2 (a) Find (f+gXx) (+ )x) - Bx? +X-7 (Simplify your answer.) What is the domain off+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice . A. The domain is {xl-20.00 (Use integers or fractions for any numbers in the...