Suppose that the function g is defined, for all real numbers, as follows. -+5 if x+2 g(x) – 1 if x=2 Find g (-1), g(2), and g (5). E(-1) - 0 E(2) - O z(s) - 0 %3D

Q: Let the graph of a function f(x) be as shown below: -2 Į + 3+ 2+ 10 -2 -3 ● 2 Select one of the…

A: In this mathematical problem, we are tasked with choosing the correct option and providing an…

Q: Which function is increasing as x approaches negative infinity and decreasing as a approaches…

A: We have to find  which function is increasing as x approaches negative infinity and decreasing as x…

Q: The graph shows the functions f(x) = |2x— 2| and g(x) = |2x +2|. If g(x) is written in the form f (x…

A: Given that; f(x)= |2x-2|g(x)= |2x+2| From the statement; g(x) = f(x+k) ... (i) Value of k = ?

Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: Find functions f and g so that f og= H. H(x) = |4x+5| Choose the correct pair of functions. X-5 O A.…

A:

Q: Evaluate g(f(-2)] and f(g(3)] for the following function. f(x) = -x; g(x) D x2 + 5 OF

A: Given :

Q: Which function(s) has (or have) opposite end behaviours? * f(x) = x² + 3x – 1 g(x) = x³ + x? + 3x –…

A: Given, fx = x2 +3x-1  gx = x3 +x2 +3x-1 hx = x4+x3+x2+3x-1   We have to find the functions which…

Q: Find f(3) for the given function. f(x)=(x-2)(x-4)(x+5)

A: Explanation of the answer is as follows

Q: Let f(x) = 2x – 11 + 3(x + 2). Find all values of x for which f(x) is at most 0.

A: Solution: Consider the given function is: f(x) = 2x - 11 + 3(x+2) Simplifying the above we have f(x)…

Q: 3. y In the functions given, f(x) =# x+2x² : g(x)=3x²-1 Find f + g,f - g.fg. andand state their…

A: Solution : The objective is to find the required values

Q: 3x + 7 if x -2 Of (1) = 10 and f (1) = 7 Of (1) = 11 Of (1) = 7 None of these Of (1) = 10

A:

Q: Find f(k-1) when f(x) = 5x² + 4x + Of(k-1) = 5k² - 6k + 10 f(k-1) = 5k² - 6k + 2 f(k-1) = -6k² + 5k…

A: Introduction: A polynomial function is a function that involves only non-negative integer powers or…

Q: Suppose that the function g is defined, for all real numbers, as follows. 1 -x+2 if x #1 g(x): -3…

A:

Q: a. Evaluate g(6) b. Evaluate If f(x) = 3 - x and g(x) = 2x² + x + 5, then

A:

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function