1. Determine an expression and the domain for h(x) for the following expressions. [8K] a) f(x) = 3x², g(x)=x-1, h(x)=f(x)+g(x) b) f(x)=2x² + x, g(x)=x²+1, h(x)=(f-g)(x) 4 d) f(x)=x²-x², g(x)=x+1, h(x)=(g/f)(x) c) f(x) = sinx, g(x)=, h(x)-g(f(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: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

A:

Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

A:

Q: f(x+h)-f(x) for g(x) = 4x²-3x h 5) Find the difference quotient, i

A:

Q: 1) Find the natural domain for the following: x +6 f(x) = 8- Vx2 - 25

A:

Q: What is the domain of f(x) = √(x – 5) / √x  (√ means “the square root of”)?

A: Given: f(x) = √(x - 5) / √x let's get the numerator:√(x - 5)x-5≥0x≥5let's get the denominator: √x…

Q: 4) Find f(x - 1) when f(x) - 4x2 - 4x - 7.

A: f(x) = 4x2 - 4x - 7 f(x-1) = ?

Q: 6.) Evaluate f(-3) for f(x) = x³ + 3x + 17

A:

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: For the functions f(x) = 7x + 4, h(x) 10 - 3 and g(x) %3D Зх — 2 (a) Evaluate (i) g(4) (ii) h{g(4)}…

A:

Q: Suppose f(x): = f-¹(x) 4 10x +9

A:

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

A:

Q: Let f(x) = 5x2-3x and g(x)=6x+5. Find f[g(k)]. f[g(k)]= (Type an expression using k as the…

A:

Q: 10) If f(x) = 3x x +4 +4 and g(x) = f(×¹4), write an expression for g(x) and find its domain and…

A:

Q: Find the domain of the function f(x) = √x + √(1 − x)

A:

Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain…

A: