Let f(x) = 3x-7 and g(x)-Vi + 1 where the domains are all real numbers for...
Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 3x 7, g(x) = x2 + x (a) fog(f o g)(x) = _______ domain = _______ (b) gof (g o f)(x) = _______ domain _______ (c) fof (fof) (x) = _______ domain = _______ (d) gog (g o g)(x) = _______ domain _______
18. Let f(x) 4x2 +1 and gox)- 3x-4. Find (f+g)x), (f - g)(x). (I eg)X<), and (x). Determine the domain of seros d (t+g)0x)= (Simplify your answer. Do not factor.) 0o.o (Simplify your answer. Do not factor) = (x6-) (g)x) (Simplify your answer. Do not factor.) swer. Do not factor.) (Simplify your (x)= Choose the correct domain of B. All real numbers 1 A. All real numbers except t D. All real numbers except 4/3 C. All real numbers except...
18 of 32 ( complete) All Cha Let f(x)= 3x - 1 and g(x) = x² + 5. Find (fog)(7). gnment Then (fog)(7) = (Simplify your answer.) TEST # 1
Let g(x) =3x + 5 and f(x) = x2 + 2x – 7 . Find f(g(x)).
Let f(x) = 3x – 6 and g(x) = 6x + 5. Write a formula for each of the following functions and then simplify e. fg= Preview f. ff= Preview
Let f(x)=7x-8/3 and g(x)=3x+8/7. Find (f o g)(x) and (g o f)(x).
Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = 4x +1 g(x) = 5x Write the expressions for (f.g)(x) and (f+g)(x) and evaluate (f-g)(-1). (fºg)(x) = 0 (f+8)(x) (6-8)(-1) = 0 o X ?
Let f(x)=x2+4 and g(x)=3x−6. Find a formula for f(g(x)) in terms of x.
Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = 4x+6 g(x) = x+3 Write the expressions for (g.f)(x) and (g+f)(x) and evaluate (8-8)(3). (9•f)(x) = 1 (+5)(x) = 0 (3-1)(3) = 0 xo?
In this problem we consider only functions defined on the real numbers R. A function f is close to a function g if 3x E R s.t. Vy E R, A function f visits a function g when Vz E R, R s.t. a<y and f() -g) For a given function f and n E N, let us denote by n the following function: n(x)-f(x)+2" Below are three claims. Which ones are true and which ones are false? If a...