16. Express f (x)=x² – x–6 in standard form.

Q: 2. Find the zeros of f(x)=x² -x-12.

A:

Q: Let ​f(x)=4x−1 and ​g(x)=x2+ 5.   Find ​(f◦​g)(0​).

A: Composition of function is found by plugging the inner function in place of variable of the outer…

Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

A:

Q: Let t(x) = 2x - 1 and m(x) = x² - X. Find m(t(x)) Be sure to simplify your answer. Use the fx button…

A: Given, t(x) = 2x-1, and m(x) = x2-x m(t(x)) = m(2x-1)

Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: f(x) = (2-1)³

A: Given: f(x)=2−x415 To sketch the graph of f(x) Let's first find where f(x) will be zero

Q: exp(x) = ex ?  Is it just a matter of notation, or does exp( ) mean something else?

A: Yes this is true exp(x) = e^x  exp(x) is command in coding language to type e^x

Q: Show that the function g(x) = x³ – 7x² + 25x + 8 has exactly one real root- |

A: Given: gx=x3-7x2+25x+8 To show function gx has exactly one real root.

Q: Let f(x) = 2(x − 3)2 − 4. Find  f(4). f(4) =

A: To calculate f(4) when f(x) is given , we just need to put x=4.

Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: Derive f(x)= x6-x+1 I+x+ 9x

A: y=x6-x+1x6+x+1

Q: Show that the product rule works for the case f (x) = x2, g (x) = x3.

A: Given that, fx=x2gx=x3 We have to show that the product rule works for the case of given functions.

Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: If f(x)=(m-4)x+7 is a constant function m =?

A:

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: For each of the following functions i) f(x) = -2 x²(x² − 9), ii) g(x) = (x + 2)(x − 3)(x² − 4). a)…

A: Given function, fx=-2x2x2-9 To sketch the graph of the function, should use the some important key…

Q: Let f(x) be the function f(x) 1. Find the following: x + 1 f(11) = f( – 10) | (4) 2 (-) f |

A: Given function is fx=xx+1-1. Put x=11 in the function. f11=1111+1-1=1112-1=-112 Therefore, f11=-112.

Q: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.

Q: 15. Subtract the functions: f(x)- g(x) where f(x) = -3x + 6 and g(x) = 4x- 2 h(x) = f(x) - g(x) =…

A: Answer and explanation is given below...

Q: Let f(x)=√6−x+5. Determine f−1(x) and the the domain of f−1(x). (the square root is only over 6-x)…

A: