* IF f(x)=(x²+1)½ and g(x)=x½ find the domain for the quotient function f(x)/a(x)

Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (fg)(9)=

A: Given that f(x)=x+3 And g(x)=x2-2 We will find (fg)(9)

Q: Let ​f(x)=−4x+6. find f(-x)

A:

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: find f-1 (x) for the one-to-one function f(x) =4x+1 divided by 5

A: Given function is f(x)=4x+15 Also given that f(x) is one-to-one function Now we have to find f-1x

Q: Differentiate the function. g(x) = 3x-3 (x* - 3x³ + 8x – 8) gʻ(x) = O

A: Our Aim is to differentiate the function given below:-g(x)=3x-3(x4-3x3+8x-8) -(i)

Q: Simplify the Function R(x)= 1/x2(x2+3)2

A: Given,

Q: Evaluate the function for f(x) = x + 3 and g(x) = x² - 2. (f/g) (-1) g(8) (f/g) (-1)g(8) - =

A: f(x)=x+3g(x)=x2-2