1. Find the sum and difference and product f(x) = (x³-4x²-1) g(x) = (2x + 3) a) f(x) + g(x) = b) f(x) - g(x) = c) f(x) *g(x) =

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

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: How to Find the zeros

A:

Q: Find the domain of f(x) 2x / x2+1

A: The given function is,

Q: (x+1)/(x-1) + 2 > 0

A: We need to find the interval of x for which the given inequality holds good.

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: f(x) = 2 (x+4)²-3 for 4x - 3 for Find f(-5) x 1

A:

Q: Determine f(g(2))where f(x)=4x+6 and g(x)=5x

A: f(x) = 4x+6, g(x) =5x Therefore,  f(g(x)) = f(5x)             = 4(5x)+6            = 20x+6 f(g(x)) =…

Q: find the domain of f(x) x-12 / x(x2-16)

A: Numerator is a polynomial which is well defined for all real numbers. To find the domain we need to…

Q: If f(a) x* + 5, g(a) =-6 and h(z) a, then

A: Given: To find:

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

A:

Q: Evaluate (fo g)(x) or f[g(x)] f(r) = 4x² + x + - 3 g(x) = 5x 5 (f o g)(x) = f[g(x) = %3D

A: Evaluate (f•g)(x) or f[g(x)] We apply going to apply here method of composite functions

Q: Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d)…

A:

Q: Find f1(3) when f(x) = ∛(x2 - 1)

A:

Q: et f(x) = 2x³ 4x² + x - 1 23 a) Use division to rewrite the function as individual terms with…

A:

Q: 3. Compute and completely sin (a) f(x) = 7-x+2x²

A: