Given f(x), find g(x) and h(x) such that f(x)=g(h(x)) and neither g(x) nor h(x) is solely x.
f(x)=3√(5x^2+4)+1
g(x)=
h(x)=
Given f(x), find g(x) and h(x) such that f(x)=g(h(x)) and neither g(x) nor h(x) is solely...
Given that f(x) = 3x + 1 g(x) = 5x - 8 and h(x) = 2x – 1 3 Find:- i) f(-4) = ii) g[h(5)] = iii) f[g(3)] = iv) g[h(x)] = vi) h-1(7) =
Find two functions f and g such that (f X g)(x) = h(x). ( There are many correct answers. My answers were f(x) = 4/5x and g(x) = 5x + 2 but this was wrong.
1 2) (15 pts) Given g(x) g(x+h)-g(x) use the formula g'(x) = lim 6x+3' h0 h to find g'(x). 3) (15 pts) Given h(x) = -3x2 + 5x + 2, find the equation of the tangent line at x = -2. (Hint: For the tangent line at x = a, find f(a), and f'(a).)
Evaluate the following expressions, given functions f, g, and h: f(x) = 9 – x2 g(x) = –2x² + 5x +8 h(x) = 2x – 5 a. 4f(3) – 28(-2) = -10 b.f (!) – h(-3) =
1. Find two functions, f and g , such that neither is the identity function, and (fog)(x) = (5x –1)'. Write your response on the space provided below. (6 points) 1. f(x) = - - and g(x) =
Find (f o g)(x) and (g of)(x), given that f(x) = 5x + 9 and g(x) = 2x - 3. (fog)(x) = (Simplify your answer.) (gof)(x) = (Simplify your answer.)
Given f(x) and g(x), find the indicated composition. 18) f(x) = 4x2.5x + 4; g(x) = 5x - 8 Find (g. (x). Solve the problem. 19) logx 5 = 1 Express as a sum of logarithms. 20) logx (6yz) Express as a single logarithm, and, if possible, simplify. 21) logw (x2 - 49) - logw (x - 7) 22) loga x9- 3 loga
g(x) = 2x -1, 8)) Given f(x) = x?, a) f(g(x)) h(x) = Vx+2; find the following: b) g(h(x))
Use the given information to find f '(2). g(2) = 3 and g'(2) = -3 h(2) = -1 and h'(2) = 4 g(x) f(x) = h(x)
write answer in exact simplified form
Given the functons: f(x)=xº+5x g(x)=5x h(x) = 5x-3 Evaluate the function (f •)(r) for x =-2. Write your answer