Let f(x)=x2+4 and g(x)=3x−6. Find a formula for f(g(x)) in terms of x.
Let f(x)=x2+4 and g(x)=3x−6. Find a formula for f(g(x)) in terms of x.
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
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
Let p(x) = x2 + 3x + 1 ∈ Z5[x] and let (p) ▹ Z5[x] be the principal ideal generated by p. Put K = Z5[x]/(p). For f(x)=x2−1∈ Z5[x] and g(x)=x2+1∈Z5[x] find a,b∈Z5 such that (f + (p))(g + (p)) = a + bx + (p) in K.
2. Let f(x) = x2+3x-10 x2+x-6 (a) Find the y-intercept. Show all work. (b) Find the x-intercept. Show all work. (c) Find the vertical asymptote(s). Show all work. (d) Find the horizontal asymptote. Explain your solution. (e) Does the rational expression have any holes? Explain.
-. Let f(x) = 3x + 1 and g(x) = -X- 2. Find (fºg)(4).
(6 pts) Let f(x) = (x2 + 3x + 1)e-x. (a) (1 pt) Find f'(2) (b) (3 pts) Solve for the intervals of increase and decrease. Show your work. (c) (2 pts) Find any local maxima or minima, and where they occur.
21) g(x) 2x-2 f(x)=x2 +3x Find (g f-2+x)
Question 19 Given f(x) = x2 +2 and g(x) = 3x - 4 find (fog)(x) 9x2 - 12x+9 3x3-8 09x2 - 24x + 18 O x² + 3x-2
6. If 3x – 3 5 f(x) < x2 – 3x + 6 for x 2 0, find lim f(x). X-3