Find f[g(x)] and g[f(x)]. f(x)=√√√x+2, g(x) = 18x² - 11 f[g(x)] = g[f(x)] =

Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: Given: fx=1x, gx=1x. To find: f o gx=g o fx=x Solution: Finding f o gx. f o gx=fgx=f1x=11x=x

Q: find f(a/b-1)

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Q: f(x)= (x2 -4x)/(x-4) g(x)=x is it true f=g?

A: Given,

Q: Find f(x) • g(x)= (fg)(x). Simplify. F(x)=x^2+8 G(x)=x^2-x+3 (Fg)(x)=

A:

Q: gf(x)=x²-1, show that: 3 [ f(x) +1]= x+4+3 f(x) = f(x) X-1

A: Given function is f(x) = x2 - 1

Q: How to find f-1(x) of f(x)=x2-18x. Can you please give steps as well.

A: The given function is f(x) = x2–18x.Replace f(x) by y as y = x2–18x.Interchange the variables and…

Q: let f(x)= x2-3x-54/x2-1 and g(x)= x2+5x-6/x2+2x+1 find and simplify (f/g)(x)= ?

A: We can solve this as follows:

Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0.

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Q: Find A so that f(g(x)) = g (f (x)) when: (a) f(x) = 3x + 2 and g(x) = 2x + A

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Q: Suppose f(x) = 2² +1 and g(x) = + 1. Then (f + g)(x) = (f - 9)(x) : = (x)(6f) (f/g)(x)= (fog)(x) and…

A: The given functions are fx=x2+1 and gx=x+1

Q: Let f(x)=2x+3 and g(x)=x+√x+2 Find f+g   (f*g)(x)

A: Given function is f(x)=2x+3 and g(x)=x+√x+2

Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

A: