In parts (a) and (b), use the given figure. (a) For what value of x does f(x) g(x)? (a) Solve the equation: f(x)" g(x). (b) Solve the inequality g(x) sf(x)

Q: Given f (x) =x-4 and g (x)=|x+2|, what is the domain of the quotient function f/g?

A: Domain will be  Whole real numbers except 2 Explanation is given below......

Q: In each case, select the function that dominates the other as x → ∞o? (a) O 50x² (b) 0.02x³ O In(x +…

A: limx→∞0.02x350x2=limx→∞0.02x50=∞    Therefore, 0.02x3, will dominates over 50x2

Q: If f(x)=x-15 and g(x)=x+2, then (g/f)(x)=x+2/x-15. What is the domain of (g/f)(x) in interval…

A: The answer  given below:

Q: Find the formula for (f - g)(x). f(x) = x² - 10x + 25 and g(x) = x² - 10x + 24 (f - g)(x) = [?]ײ +…

A:

Q: Given  f(x) =    7 − 14x  and  g(x) = −  3 x,  find the following. (a)     (g ∘ f)(x)…

A:

Q: For the functions f and g, find the following. f(x) = 2x and g(x) = 3x² + 1 (a) (fog)(3) (b)…

A:

Q: Given the function g(x)=3x2 +8 Find the given value   g(1/3)

A: The given function is g(x) = 3x2 +8.

Q: a) evaluate f(2) b) solve for f(x) = 2

A: Given,  We have to  a) evaluate f(2) b) solve for f(x) = 2

Q: For all values of x, f(x) = x² a) Find fg(5) b) Find gf(5) g(x) = x + 3

A:

Q: Find the leading coefficient of f(x)? Given f(x)=-(x-3)2(x+3)2

A:

Q: In parts (a) and (b), use the given figure. (a) Solve the equation: f(x) = g(x). (b) Solve the…

A: Given figure is-   f(x) is a line passing through (6,8) , (-11,-6)…

Q: Given the functions g(x) = 2x + 3                                              x - 5  find g-1(x)

A:

Q: Draw a sketch of f (x) = |-x² + 9 – 3 (you are welcome to use a graphing utility). Solve f (x) = 4.…

A:

Q: Given the functions f(x)=x²-x, g(x)=√x 14. (g-f)(A) find expressions for the following:

A: The given functions  and .The aim is to find the expression for .