1. Let A = {r E R : e # 2} and define f : A R by f(x) = . 5r+1 I-2 (a) Show thatf is one-to-one. (b) Show that if y + 5, then y E rng f. (c) Show that 5 ¢ rng f.

Q: 7. What is the value of (X-2)2 for the scores 2,3,5?

A: To find : ∑X-22 for the scores 2, 3, 5

Q: If f-(a, b) = 0 and fy(a, b) = 0, then Vf(a, b) = 0.

A: Given,           fxa,b=0   and   fya,b=0

Q: 2. Consider the functions g, h: R → R defined by g(x) = x² and h(x) = x³ + 1. A. Evaluate f(g(x) ·…

A: g(x)=x2h(x)=x3+1∫xndx=xn+1n+1+c

Q: Use the table below to fill in the missing values. Assume f(x) is a one-to-one functi f(x) 7 0 2 3 1…

A: A table is given with a one to one function fx values for some values of x. a) The objective is to…

Q: 2. Functions f and g are defined as follows: f:R -R f(x) = x2 – 3x –1 Perform these expressions…

A:

Q: e equation of

A:

Q: 13. Given f(x) = x² - 4 and g(x)=√x, which function represents the composite function y = (fº g)(x)?…

A: Given,To find: the composite function

Q: Find the inverse of each function. 5) sl) --2x + 3 6) lx)-12 - 7x 4 7) h(n) – V-n – 2 8) g(x) – -1 +…

A:

Q: 3b.

A:

Q: ssuming that f(x) is of the form A - B², write an expression for f(x): x) =

A:

Q: 2) a. Find the inverse of the function, b. Show that the function f: R> R defined as f (x) = 13x –…

A:

Q: - Let f(x) = 3* a) What is f(x) ? c) Use the table from b) to complete the table for the inverse…

A:

Q: 1 Consider f(x) x – 16 a. Compute: f(a) = b. Compute and simplify: f(a + h) = c. Compute and…

A:

Q: Consider the functions f, g given by f(y) = Ay, g(x) = Bx where A is m × p and B is p × n. In…

A:

Q: Use the graph of f(x)=√x to write an equation for the function represented by each graph. (a) (b)…

A: Given: The parent function for the given two graphs is f(x)=x. a) To find the graph of g(x) with the…

Q: 5) Let g(t) = each of the following: 8 +2v£ be a real-valued function. Evaluate t a) g(4) b) g c)…

A: Given g(t)=8t+2ta) g(4)=84+24           =2+24           =6

Q: Match each function f with a function g so that (fog)(x) = x². (x² + 2)² (²-2)² x² - 2x + 1 :: 2 ln…

A: I am going to solve the problem by using some simple calculus to get the required result of the…