Assume that the function f is a one-to- one function. (a) If f(9) – 8, find f-1( – 8). Your answer is (b) If ƒ -1( – 50) 28, find f( – 28) Your answer is

Q: The function f is defined by f(x) = 2x +1. Find f(5x). f(5x) = 0

A: We can find f(5x) as below.

Q: The ________ of the function f with the function g is (f ∘ g)(x) = f(g(x)).

A: we have been given a statement we have to fill it with appropriate word. Statement : The ________ of…

Q: Use the piecewise-defined function to find the following values for f(x). 2-3x if xs1 f(x) = 4x if…

A: The given piece wise function is f(x)=2-3x     if   x≤14x          if  1<x<85x+3    if  x≥8

Q: -3х - 3, Lx? + 2х - 1, X < -1 f(x) x 2-1

A: We have to find the value of the function

Q: find -Ihe Maclaurin reries oF the - () following function: F(x)-[3x © a:0 noito m

A: We have to solve given problem:

Q: Use the piecewise-defined function to find the following values for f(x). 1-5x if xs2 f(x) = 3x if…

A:

Q: Evaluate the function ( f + g)(t − 2) for f(x) = x + 3 and g(x) = x2 − 2.

A: Given:            fx=x+3  and  gx=x2-2

Q: Express the function h(x)=(x+8)8 in the form f∘g. If f(x)=x8, find the function g(x).

A: Given,

Q: Use the graph of the function f shown to the right to find f(-2), f(-1), and f(0). Ay f(-2)=0 10

A:

Q: Determine whether the function f is one-to-one.

A: One-to-One definition :                                          A function f : A→B…

Q: Q1. Consider the function f(x) =-x² + 4x – 2. a) Sketch the graph of f in the interval [-1,5].

A: Givenf(x)=-x2+4x-2 To sketch f on [-1,5]

Q: Given the piecewise function if x 1

A:

Q: Let f(x) = 21/(3+aekx) with f(0) = 3 and f(1) = 1/2.   Find a, then k, and finally evaluate the…

A:

Q: Find a function f that satisfies the conditions. f"(x) = x-3/2, f'(1) = 7, f(4) = -1 %D

A:

Q: 3

A: Given that: The length of the function isfx=251-2x Substitute the value x=3 in the given function,…

Q: Is the function f(x) even, odd, or neither? 2x + 1

A: When -x is substituted for x in a function f(x) and the same function is obtained then the function…

Q: Find the domain of a function of the form f (x) = va – x².

A: Given function:- f(x) =√(a-x2)  To find:- Domain of given function f(x)

Q: Find the function such that f'(x)  = f(x) (1- f(x)) and  f(0)  = 1/2

A:

Q: for the function f(X)=5(1.7)^X STATE THE END BEHAVIOR OF THE FUNCTION  As x=∞, f(x)= As x=-∞,…

A:

Q: What type of discontinuity does the function f(x)=xsecx have?

A:

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

A:

Q: Evaluate the piecewise-defined function. Sx - 5 if x < 1 f(x) = ,2 %3D if x 2 1 (a) f(-1) = (b) f(5)…

A: Given that the piecewise -defined function is         f(x) = x-5    if x&lt; 1                  x2…

Q: Assume that f is a one-to-one function. (a) If f(7) = 19, what is  f −1(19)? (b) If f −1(8) = 1,…

A: Given :f is a one-to-one function .a If f7=19 , what is f-119?b If f-18=1 ,what is f1?

Q: Find the range of the function f(x,y)=-579+841/3971-x²-y² . 19 11

A:

Q: Let f(x) be the function 6x^2−12x+6. Then the quotient(f(1+h)-f(1))/h can be simplified to ah+b…

A: Consider the given function,

Q: Determine whether the function is one-to-one. r(t) = t4 - 1

A:

Q: Evaluate f(-2), f(-1), and f(4) for the piecewise defined function Jx + 1 fx)x2 if x -1 if x > 1…

A: Given piecewise defined function is,

Q: Evaluate the function ( f + g)(2) for f(x) = x + 3 and g(x) = x2 − 2.

A: Solution:f(x)=x+3    and     g(x)=x2-2To find (f+g)(2):Formula:(f+g)(x)=f(x)+g(x)

Q: What is the end behavior of the given function? f(æ) = –12Va As x → 0, f(x) → -o. As x → -0, f(x) →…

A:

Q: Consider the piecewise-defined function if r<0 |z+ 21. f(z) = { -+3r – 2 if z20. I-2 1. Sketch the…

A:

Q: Find the interval where the function is increasing, decreasing, concave up, concave down and the…

A: the interval where the function is increasing, decreasing, concave up, concave down and the…

Q: After Julia has driven for a quarter of an hour, she was 125 miles east from Denver. After driving…

A: see below the answer

Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: 39. Let f(x) = 2x3 - 4. Find a function y = g(x) so that (f o g)(x) =x+2.

A: We use the definition of composition of functions to find y= g(x).

Q: Let f(x) = 15/(3+aekx) with f(0)=3 and f(1)= 1/2. Find A, K, and then evaluate the function f(3).

A:

Q: Determine f (x- 1) for the following function. f(x) = Vx- 5+9 %3D Answer f(x-1) =

A:

Q: Let fbe the function defined by f (x) = ta Ifg (x) = f (7) and g (2) 1, what is the value of g (2)?

A: We have to use f(1) = 2.

Q: For the function f (z) =

A: Given,            f(z)=coszz

Q: The function f(x)%= has a point of inflection when a = 0.

A:

Q: Find the function f(x) = ax + bx + cx +d for which f( - 3) = - 103, f( - 1) = - 3, f(1) = 1, and…

A: We will use matrix method to solve the equations obtained by given conditions

Q: For the function defined here, find f(0), ƒ(1), and f(2) by using the graph below x + 1 f(x) = 13 if…

A: We are asked to find f(0),f(1)  and f(2)

Q: ) Determine the Range of the function g(x) = x³ for the Domain: {-1,0,1}

A:

Q: Use the piecewise-defined function to find the following values for f(x). 2-5x if xs2 f(x) =. 4x if…

A: The given piece-wise function is: f(x)=2-5x       if  x≤24xif  2&lt;x&lt;55x+1if  x≥5

Q: Assume that f is a one-to-one function. (a) If f(4) = 12, what is f −1(12)?   b)  If  f −1(1) = 5,…

A: Since f is one-to-one ∴ f(f-1)=f −1(f)=1 f(4) = 12 f −1(12)=f −1(f(4)) =&gt;f −1(12)=(f-1f)4=1x4 ∴ f…

Q: Find the interval where the function f (x) = x^(2/3) is increasing and where it is decreasing.

A:

Q: Evaluate the piecewise-defined function. f(x) =    x − 4   if  x &lt; 1 x2   if  x ≥ 1…

A:

Q: 2. Let f be the function defined by 9) f (x) = x²+2x+1 ,Find: -f (3) +fヒ3)

A:

Q: A function is defined as: (-1 for - 3<x< 0 %3D +1 for 0 < x < 3

A: Given, f(x)=-1    for  -3≤x&lt;0+1    for    0&lt;x≤3 Given function is a piecewise defined…