I have a problem that I really need help with:  Find f(g(4)) if f(x)=x^3/2 and g(x)=1-3x^2 I know generally how to find f(g(x)) but I am still sometimes getting confused between g(f(x)) so I want that double checked. I think the first step on this problem would be f(g(x))=1-3(x^3/2)^2  Do I have that part right? Also, we haven't done anything with radical fractions yet but I think (x^3/2)^2 equals x^2*9 all of that over 4. Correct?  Thank you!

Q: f( x + 1)

A:

Q: Let's look at how this example would be different if it was performed in the opposite order. Given…

A:

Q: For problem 1-2, use f (x) = x² + 1 and g(x) = Vx – 1 to determine the indicated function. State the…

A:

Q: Given the function f(x)=x*2+x-1, what is the value of f(2)?

A:

Q: Can you show me how you would work f(x)=2x2-4x where f(-1)

A: Given function,f(x)=2x2-4xPut x=-1then,f(-1)=2(-1)2-4(-1)f(-1)=2(1)+4…

Q: I'm looking at this and I'm already confused, I need help with f+g, f-g, fg, f/gSeeing it with one…

A:

Q: Suppose g(x) = 3x- 2 and h(x) = f[g(x)] = 15x - 11. Find y = f(x).. %3D %3D %3D %3D Explain and show…

A: Given that                     g(x)=3x-2  and  h(x)=f[g(x)]=15x-11

Q: f (x) = x2 - 1 / x + 4  Find the following:   5) f (2x)  6) f ( a + k)

A: Given:-   fx =x2-1x+4   now, a. f(2x) f2x=2x2-12x+4 = 4x2-12x+4 = 4x2-12x+2 = 4x22x+2-12x+2 =…

Q: Suppose f(x) = 9x 9 and g(x) x2 + 5x + 8 (f o g)(x) = %3D

A: f(x)=9x-9g(x)=1x2+5x+8f ο gx=f(g(x))put x=g(x) in f(x)

Q: Given f(x)= x - x^2 and g(x)= 4x-2 Simplify f(g(x))

A:

Q: 4. If f(x) = x² + 2 and g(x) = 2x − 1, what is (fog)(x)? (A) 4x² - 4x +3 (B) 4x² + 3 (C) 4x² - 4x +…

A: Detailed solution will be given below

Q: 1) f(x) = 5x and g(x) = x - 3, find f(2) + g(1)

A: Please see the below picture for detailed solution.

Q: If f(x) = 3x³ + 1 and g(x)=2x-1, then g(f(-1)) = −5 . true false

A: f(x)=3x3+1 g(x)=2x-1.

Q: Let f(x)=√(x+1/x),g(x)=2/√(x-1) and h(x)=x^2+1 Describe the domains of f(x) and g(x) . Find…

A: We have to find domain

Q: {x) = x + 3, g(x) = V7 - x (a) (f+ g)(x) =(+g)(1) | (b) (f- g)(x) =x +3 - V7-x %3D (c) (fg)(x) =…

A:

Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) = (x + 6)3 f(x) =| g(x) =

A: We have to find the function

Q: Given f(x)=x²-1 and g(x) = √2x + 2 Which of the following have the same domain? Select all that…

A:

Q: Find f(f(f(1))) given 2 +3 2x – 6 if 2 5 f(f(f(1))) =

A: Given query is to find the indicated composite function.

Q: I have several problems that want me to find the function and domain. Can you please help me? "Let…

A: Given, f(x)= 8x+7 and g(x)=9x-8 (f/g)(x) = f(x)/g(x) => (f/g)(x) = (8x+7)/(9x-8)

Q: f(x) = 3 IS %3D 3(x)ミVX |(90gl0) = ?

A:

Q: Given f(x) = 1 + 6x – x² | and g(x) = 4x + 1 Part A: Find (f + g)(3) -3 23 -21 41

A: f(x),g(x) functions are given , We need to find the (f+g)(3)

Q: Given f(x) = 1 + 6x – x? and g(x) = 4x + 1

A: Given: fx=1+6x-x2  and gx=4x+1 To find: f+gx