The graphs of fand g are shown. Evaluate the function at the given va or simplified fractions. Select "Undefined" if applicable. y= f(x) 4 5 432 -5-4-3-2-1 1 y= g(x)-3 -4 Part 1 of 7 (f+g) (4) is S 2345 X Undefined 5

Evaluate the function operations indicated for the given functions. If needed, enter the values as a simplified fraction. (Examples: 1/2, -14/3) If any operation is undefined for the value of x indicated, type und for your answer. Press each hotspot and type the correct output for the function operation. Press "Submit" to save each response. +3 Given: f(x)=x+₁ and g(x)=x+1 X-1 Determine the following: (8-f)(2)= (!) (³) = g (fog)(0) = 5 (fg)(0)= g (5) (gof)(0)= 6

(-4x-6 if x < 3 f(x) = { -x2 + 2x if 3 < I < 7 - 2x + 5 if x 2 7 Step 3 of 3: Evaluate this function at x = 0. Express your answer as an integer or simplified fraction. If the function is undefined at the given value, indicate "Undefined".

Suppose that f is a function given as f(x) = /=4x – 5. %3D Simplify the expression f(x + h). f(x + h) - f(x + h) - f(x) Simplify the difference quotient, f(x + h) – f(x) h Rationalize the numerator in the difference quotient. (If applies, simplify again.) f(# + h) - f(x) The derivative of the function at a is the limit of the difference quotient as h approaches zero. f(r +h)- f(r) f'(z) = lim h0

Use synthetic division and remainder therom to find the indicated function value.

List all values of x for which the rational expression is undefined 12/-3x

Consider the following piecewise function. f(x)= -x-3 if x is less than or equal to-1 , 4x-4 if x is greater than -1. Evaluate this function at x=-1. Then Express this function at x=-4. Express your answer as an interger or simplified fraction. If maybe undefined.

Evaluate the function operations indicated for the given functions. If needed, enter the values as a simplified fraction. (Examples: 1/2, -14/3) If any operation is undefined for the value of X indicated, type und for your answer. Given: f(x)=4x-10 and g(x)=√x-6 Determine the following: (f-g)(10)=o g (fog)(7)= (sf)(6)= g (F) (15)-O (gof)(5)=

Refer to functions n and q. Evaluate (q • n)(x) and write the domain in interval notation. Write your answers as integers or simplified fractions. 1 n (x) =x- 5 q (x) = X-7 Part: 0 / 2 Part 1 of 2 (q • n)(x) = Next Part Submit Assignment

Identify the rational expression that is equivalent to O a. 9x -3x² 12x² + x O b. O c. O d. 6(3-x) 2x(12x+1) 3x - x² 4x³ +0.3x² 3-x 6x² + 2x 9-3x 12x* +x