
15. Let g(x)= Vx + 3 and f(x)= 5cos( x ). Evaluate (fog")(5) . A. 5 B. -5 C. O D. 5/2 E. -5/2 F. None of the above
Given f(x)= 2x+3 and g(x) = VX-4 find (gof)(5)
g(x) = 2x -1, 8)) Given f(x) = x?, a) f(g(x)) h(x) = Vx+2; find the following: b) g(h(x))
2 1 6 2. Evaluate 25x4 + + X -1.5 vx xt 3. Find f (x) given that f'(x)= x°+2-e ** at (0,-1).
For f(x) = Vx and g(x) = x + 7, find the following functions. a. (f o g)(x), b. (g o f)(x), c. (f o g)(2), d. (g o f(2) a. (fo g)(x) = L」 (Simplify your answer.) b. (gof)(x)=[-] (Simplify your answer) C. (fog)(2)-O (Simplify your answer) d. (g o f(2)- (Simplify your answer)
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)
show all work, no written work
f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...
1) Find the following for the functions f(x) = x+2 and g(x) = Vx – 5 if defined. If the composition is not defined write “The value is not in the domain”. a) (fºg)(14) b) (gºf)(2)= c) (gºg)(30) =
Given fix) and g(x), find the indicated composition and evaluate. 26) f(x)-3x+7: gx) - Find (f °g)(2). 13 25 A) B) C) 13
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist