f(x) and g(x) are both functions with Domains and Codomains all positive Reals. f(x) = 2x2...

f(x) and g(x) are both functions with Domains and Codomains all positive Reals.

f(x) = 2x² and g(x) = 4x - 1. If f(g(x) = 8, what is x?

a	2
b	1/2
c	3/4
d	None of the above

____________________________

If f(x) = 7x + 3 and g(x) = 4 - x³, then what is g(f(-2))?

a	87
b	1335
c	12
d	-13

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Let R be the relation from A to B, where A = {1,2,3} and B = { 5,6,7,8}

R = {(1,6), (2, 8), (3, 7), (2,6)}

Remove one ordered pair so that R will be a function from A to B.

a	Remove(1,6)
b	Remove (3,7)
c	Don't remove anything R is already a function.
d	Remove either (2,8) or 2,6)

Expert Solution

Colby Messinger answered 2 years ago

F(x)=g(x)*h(x) = 4x3-2x2+3x-1 solution

If f and g are both differentiable functions. If h = f g, then h'(2) is: ___________________

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if f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x).

if f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x) (a) Find u'(1) (b) Find v'(5).

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.(a) Find P ' (2)(b) Find Q ' (7)

Let V be the set of positive reals, V = {x ∈ R : x >...

Let V be the set of positive reals, V = {x ∈ R : x > 0}. Define “addition” on V by x“ + ”y = xy, and for α ∈ R, define “scalar multiplication” on V by “αx” = x^α . Is V a vector space with these unusual operations of addition and scalar multiplication? Prove your answer.

Consider the following functions. f(x) = x − 3, g(x) = |x + 3| Find (f...

Consider the following functions. f(x) = x − 3, g(x) = |x + 3| Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using...

For the following functions f and g : f(x, y) = e ax − (1 −...

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a) Find the value of the Wronskian of the functions f = x^7 and g = x^8...

a) Find the value of the Wronskian of the functions f = x^7 and g = x^8 at the piont x = 1. b) Let y be the solution of the equation y ″ − 5 y ′ + 6 y = 0 satisfying the conditions y ( 0 ) = 1 and y ′ ( 0 ) = 2. Find ln ⁡ ( y ( 1 ) ). c) Let y be the solution of the equation y ″ + 2 y ′...

Find all functions f(x) with f′′(x) = 3x^3 − 2x^2 + x, f(0) = 1, and...

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Let f(x) and g(x) be two generic functions. Assume limx→0(f(x)+2g(x))=2 & limx→0(f(x)−g(x))=8. Compute limx→1(f(lnx)/g(x2−x)). A. It...

Let f(x) and g(x) be two generic functions. Assume limx→0(f(x)+2g(x))=2 & limx→0(f(x)−g(x))=8. Compute limx→1(f(lnx)/g(x2−x)). A. It cannot be computed B. 2 C. 4 D. -3 E. -4

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