Suppose H (x) = (1 – 2x)6.
Find two functions f and g such that (fog)(x) = H (x).
Neither function can be the identity function.
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) =
What is the composition(fog)(x) when f(x) = 2x+6 and g(x)=x2-1, before simplifying? a.(fog)(x)=x2-1+2x+6 b.(fog)(x)=(2x+6)2-1 c.(fog)(x)=2(x2-1)+6 d.(fog)(x)=(2x+6)(x2-1)
Find two functions fand g such that (fog)(x) = h(x). (There are many correct answers. Use non-identity functions for f(x) and g(x).) h(x) = (4 – *)3 (f(x), g(x)) =
Q4 (4 points) (a) (1.5p) Find f +g-h, fog, fog•h if f(x) = (x - 3, g(x) = x^, and h(x) = x* + 2 (b) 0(1p) Find the inverse of the function f(x) = 4x - 1 2x + 3 () (0.5p) Find f(-)) (c) Simplify: 0 (1p) In(a) + { ln(b) + Inc mais)
2x + 6 15. Find the inverse of h(x) = = 16. If f(x) = 2x - 1 and g(x) = x2 - 2, find [g • f](x).
Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and f(x) * g() + x. n(x) = */7x +5 f(x)=0 and g(x)=0 Question 14 of 23 (1 point) The one-to-one function is given. Write an equation for the inverse function. 2 s(x) = х 3
Express the given function h as a composition of two functions f and g so that h(x)=(f o g)(x) h(x) = 1/2x-2 Choose the correct pair of functions. Find the donain of the function. What is the domain of g? (Type your answer in interval notation.)
3. (8 points, 4 points each) f(x)-2x - 1 and g(x)-3x + 4, are functions from R to R. Find a. fog b. gof
show work n answers only please
1. Is the point (1,0) on the graph of -1=y? Explain. 2. Find the equation of the line parallel to 3y - 2x = 1 passing through the point (1,2). 3. Evaluate the difference quotient for the function $(x) = x2 - 4x +1 4. If h(x) -1ja? - 21, find functions f(x).9() so that (fog)(x) -() where neither f(x) nor g(x) is equal to h(x). Is (1) even, odd, or neither? 5. For...
Find (fog)(x) and (gof)(x) and the domain of each f(x) = x²-6, g(x) = 2x - 4 (fog)(x) = _______ (Simplify your answer) (gof)(x) = _______ (Simplify your answer.) The domain of (fog)(x) is _______ (Type your answer in interval notation.) The domain of (gof)(x) is _______ (Type your answer in interval notation.)