26. Letf(x) 3x? +8 and g()x-3. (a) Find the composite function (f og)(x)and simplify. Show work....
Let f(x)=5x^2+9 and g(x)=x-4 A) Find the composite function (fog)(x) and simplify. B) Find (fog) (3)
Find the domain of each composite function fog , gof if f(x) =3x+1, g(x)=x2
For the given functions f and g, find the requested composite function. f(x)=x² +8, g(x) = x² +4; Find (fog)(x). O A. x4 +68 O B. x4 + 16x² +68 O c. x4 + 24 O D. x4 + 8x² + 24
2. (5 pts) Let f(x)= and x+1 5 g(x)= x-3 Find and simplify the composite function f(g(x)). Write as a single fraction.
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....
Problem 25. Letf : [a, b] → R be an increasing function. Show that limx→a f(x) exists. What can you say about the relationship between this limit and f(a)? Problem 26. Letf,g: R → R be two continuous functions. Define h(x) = max {f(x), g(x)} for all x E R. Show that h is continuous on R.
For the given functions f and g, find the requested composite function value. f(x) = 4x+8, g(x) = -2/x; Find (g of)(3). 16 A. 3 B. 40 3 58 Oc. 3 OD 1 10
Find f [g(x)jand g [#x)]. f(x)-3x + 1 ; g(x)-#x (Simplify your answer.) (Simplify your answer.)
Help please The functions f and g are given. Evaluate fog and find the domain of the composite function fog f(x) = 9(x)= X+1 X (fog)(x) = (Simplify your answer.)
1 Given f(x) = 5x² - 4 and g(x) = = 6 - find the following expressions. (a) (fog)(4) (b) (gof)(2) (c) (f o f)(1) (d) (gog)(0) (a) (fog)(4) = (Simplify your answer.) (b) (gof)(2) = (Simplify your answer.) (c) (f o f)(1) = (Simplify your answer.) (d) (g og)(0) = (Simplify your answer.)