Let f(x) = x2 + 1 and g(x) = 2x - 5. Find a. (f+g)(x) b. (f-g)(-1) c. (fog)(-2) d. (f.g)(x) . ()
21) g(x) 2x-2 f(x)=x2 +3x Find (g f-2+x)
Considerf(x) = 3x-1 and g(x) = x2 + 1. The expression (fog)(-2) or, equivalently,f [g(-2)] means to evaluate the function fat g(2)
Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
1) Let f(x) and g(x) be f(x)-x2-x (x)- x + 2 Find (f/gXx) 2 +a 2) Solve the 2-equation system for both the variables x and y 5x-4y1 2x + 3y-2 3) Find an equation for the line parallel to y x-8 with the y-intercept being(0,-5).
Given that f(x) Vx )x2 -1, find 2 and g (x )x each of the following, if it exists. [2.2] 24. (f - g) (6) 25. (fg) (2) 26. +&)(-1)
6. Calculate and simplify g of with f(x) = x2 – 1 and g(x) = 2x3 + 2 7. Find the values of a and b such that f(x) is differentiable: -Sax² + b - 2a X1 (b + 2)x + ab - 12 x > 1
2. Find the Fourier transform of (a) f(x) = 1722 (b) g(x) = (1+xz)2 X (1+x2)2
11) Fin 12) If f(x) = 3x-5 and g(x) = x2 +3x-1, find f(f(x)), g(g(x)), f(g(x)), and g(f(x)) 17 find the eyart value of siny if x is an angle in standard position whose terminal side conta
Consider the following functions. f(x) = x2 + x, g(x) = x2 - 5 a) Find (f + g)(x), (f - g)(x), (f)(x), and (f/g)(x).(b) Find the domain of f + g. Find the domain of f- g. Find the domain of fg.