Question 1-4 Which of the following describes the translation of fr 1 +22 I-3 O Translate f(x) 2 units left and 3 units down O Translate f(x) 2 units right and 3 units down O Translate f(r) 3 units right and 2 units up O Translate f(x) 3 units left and 2 units down

Q: b) Find f(")(x) is f(x) =

A: The derived function is a function f  where f'(x) is the derivative of f at x, is the derived…

Q: Consider the function y = (a) Find the x- and y-intercepts of f(x)

A: An x-intercept of a function f(x) is a point on the x-axis at which the graph of the function f(x)…

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: State whether the following statement is true or false: A vector space may have two or more zero…

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Q: Consider the following. f(x) = 2x/ 16 – x², [-4, 4]

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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: Find f ′(x). f(x) = 6x15 − 7x3 + 2

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: 4. h(x) = x+ 1

A: INVERSE FUNCTION If the input a of f  yield output b, then the inverse of the f yield a as output…

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: Let f(x) = x´ + 6x and g(x) = 5 – x. H() =D (Simplify your answer.)

A:

Q: Let h(x)=f(g(x)). If g(3)=−4, g′(3)=5, f(−4)=−6, and f′(−4)=4, find h′(3). Do not include "h′(3)="…

A: We have to find derivative of h(x) at x=3 .Information is given below:

Q: 1. Use forward and backward difference approximations of O(h) and a centered difference…

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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: Define f (x) = 4 + x – x² and g(x) = 5x 3. %3D - - Find the value of (f•g)(-1).

A: Explained below..

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x<0 Thus, the left hand…

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: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: Can f(z) = | Re (z2) | + i.Im (-z) be derived from the function z=0? Show it.

A:

Q: If f = {(0, 1),(1, 2)}, (b) find h(x) = f(5 − 3x) − 2.

A: From the given data f(0)=1 and f(1)=2 That is f(x)=x+1

Q: I noticed that the difference quotient is always zero if f(x) = c, where c is any constant.

A: Difference quotient is also known as definition of limit. f'x=limh→0fx+h-fxh Given function is fx=c,…