K Is the function g(x) continuous at x = 1? x²-1 G(x) = x-1' 2, for x # 1 O No OYes for x = 1 Choose the correct answer below.

Q: Evaluate the following composition function Given; f(x) = 2XH 9(x) = 5x2 h(x) = x+3 1. (fog)(x)…

A:

Q: For the function f(x) = x - 8x2 +10 find %3D a) the intervals where f is increasing, decreasing b)…

A:

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: The graphs of the functions f and g are shown below. y 8 7 g(x) 6 f(x) 5 4 V ZA Z 3 2 1 -3 -2 -1 4 5…

A:

Q: Find the expression for the tangent slope dy/dx for points on the Polar curve r= 6 +12 cosθ

A:

Q: Given the functions f(x) = sinx and g(x) = = determine the range of the combined function f(x) g(x)

A:

Q: 3. For which x value(s) is f(x) = sin 2x continuous? Explain why.

A:

Q: -X f(x)= cx+b ax² Where c= -2 Calculate a and b so the function is continuous for all R Show all…

A:

Q: Suppose that on the interval I, f(x) is positive and concave up. Furthermore, assume that f" (x)…

A:

Q: e think of In(-3x + 7) as In(u), then u is a differentiable function of x and u = tionally, if we…

A: Topic:- application of derivatives

Q: 2, f'(4)=2, f'(4)= -1 se correct graph below. OB. Oc. OD. Ay Ay Ay (4, 2) (4,2 (4,2) (4, 2)

A: Solve by using first derivative and second derivative

Q: Find the value of the constant c so the function f is continuous on ( – x, 0) where сх + 3 if x 4

A: The objective is to find the value of the constant C so that the function f is continuous on R.

Q: (x+1, x1 Determine if the function g(x)= is differentiable at x = 1.

A: We first check if the function is continuous at…

Q: 6. Suppose we don't know the formula for the function y = f(x), but we know that f(2)=-3 and that x²…

A: Given: f'(x) =  x2 / ( √1+x2 ) f(2) = -3

Q: If f(6) = 13, f' is continuous, and f'(x) dx = 16. Find f(7) and enter a numerical value. Example,…

A: In this question given that f(6) and find the value of f(7) . We use here integration method to…

Q: •y =f(x) + -3 -2 -1 3 4 2. 3. 2.

A:

Q: Let f(x) = vV72 – x and g(x) = x² – x. Give the domain of f o gusing interval notation.

A:

Q: Find F as a function of x and evaluate It at x = 0, x = 7/6, and x = 1/2. F(x) = sin 0 de %3D F(x) =…

A: We have to find out the integral