The data below is for a certain function h (x) h (x) -3 21 1 3

Q: (2,5) 1.0 -6 -6 Given the graph of y = f(x), as shown above: 1. What is the domain of f(x)? 2. What…

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Q: A function f(x) is given as follows: 2x + 1 f(X)* f(x) = Зх-1 f-(1) =?

A: f(x) =2x+13x-1 Weh have to find f-1(1)

Q: For what values of c is the function given below is increasing on  (- ∞   , ∞) ?

A: We find f'(x) using chain rule

Q: The function h(x) = 1 can be expressed in the form f(g(x)) where g(x) = (x – 6) and х — 6 f(x) is…

A: Givenh(x)=1x-6h(x)=f(g(x))⇒f(g(x))=1x-6replace g(x) by x-6⇒f(x-6)=1x-6

Q: Find all values of x for which the garph of f lies above the graph of g.

A: Consider the given functions. fx=4xgx=1x Put the function as f(x)>g(x).…

Q: A square root function is given below. h(x) = --3 - Which function opens in the same direction and…

A: Given : h(x) = -12x - 3 - 2   To find the function.

Q: 15. Given the graph of f(x) below, determine the equation for f(x) in terms of the parent function…

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Q: 10. Given the function x1 find f(-125), f(0), f(64), and draw the graph of f(x).

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Q: x² – 4 3. Do you agree with the contention that the functions f(x) = x+ 2 and g(x) =- X- 2 are the…

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Q: Function f is graphed below. What is the range of f? {xl-2 < x s 4} {yl-3 s y < 3} O {x|-2s x < 4} O…

A: Domain and Range Question

Q: What's the domain of x-1 / (1 - e^(x - 3))

A: Since this function is a rational function, the denominator can't be equal to 0.

Q: Suppose that the function y = f(x) is increasing on the interval [- 1, 5].(a) Over what interval is…

A: y=f(x) is increasing on the interval [-1,5]

Q: Graphs of f(x) = (1+ 1/x)x

A: Given function:

Q: 15. Given the graph of f(x) below, determine the equation for f(x) in terms of the parent function…

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Q: 9. Given the function V1-x x1 find f(-8), f(0), ƒ(10), and draw the graph of f(x).

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Q: The domain and range of function g(z)= 1-/x.11

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Q: Can you help me find the open interval(s) on which the following function is increasing/decreasing?…

A: We differentiate the function and get slope now we see the interval where slop is positive and where…

Q: 4) Given the functions below, evaluate ((f – g) o h) (2). f (x) = 2x g(x) = 3x h(x) = x² +1

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Q: 17 The range of the function f(x) = |x + 2| is (0, 00) A (0, 00) (2, 0) [2, 0) D

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Q: 1. Given the function g(x) = x^2+2x, evaluate [g(x) − g(a)] / [x − a] ,  x ≠ a   2.  Given  f (x) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: f (x) = x³ + 4x² – 12x [О, 3] on

A: The objective is to find the maximum and minimum value of the given function  on a given interval.

Q: 2. Below is the graph of f'(x). For what value(s) of x does x) have a point of inflection? TO A -3…

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Q: 3. Given f(x)=-x+4x+12, 0sx58: (a) Carefully, graph S(x), 0Sx s8.

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Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: B. Evaluate the piecewise function below at the given values of x. if -1 1 1.f(-1) 2. f(5) 3. (e)

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Q: What values does the function(x)=√x+1-3 have in its range that are not in the range of the graph of…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 12] r 2 X…

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Q: A square root function is given below. h(x) = --3 - <-2 Which function opens in the same direction…

A: We know that, the graph of a function fx=hx+k will be k units horizontally right from the graph of…

Q: If f:[0, 3] → R is continuous, must its range be a closed interval? [HINT: Think about a constant…

A: We know that under continuous mapping image of compact set is compact

Q: Find the extreme values of f(x) = V4 - x2

A: To find the extreme value of the function fx=14-x2, first, determine the first derivative f'x. Use…

Q: 2, 1 2 -1 -1 -5 -4 -3 -2 -2 -4 Use the graph of f(x) above to estimate the value of f'(1) to one…

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Q: 10. Use the given information to find f"(2) of the function f(x)=g(x)h(x). g(2)= 3 and g'(2)…

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Q: 2. State the domain of the function f and sketch the graph. a) f(x) = ln(x – 1) + 3 b) f(x) = 2log…

A: Domain of a function is the possible inputs for the function where the function is defined. So to…

Q: 4. The domain of f(x) is [0, ) and 1 2 3 4 fx) 을 b 유 1 1 10 1. 17 A. Find an equation for f(x) that…

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Q: The function h(x) 1 can be expressed in the form f(g(x)) where g(x) = (x + 7) and f(x) is x + 7…

A: Given ,  The function h(x) = 1/(x+7) can be express es in the form f(g(x)) where g(x) = (x + 7)  We…

Q: Compare the function rule f (x) = 3x + 2 and the graph of g (x). 10 -10 10 Which statements are…

A: First let's draw graph of f(x) on same axis and then compare it with g(x) graph.

Q: (g) The graphs of the functions f (t) and g (t), for the domain t 2 0 are shown:

A: The rate of change of the value of a function at a point is equal to the slope of the tangent to the…

Q: Consider the following function.   g(x) = 2x2 + (32/x)+8   Find the x-value(s) of the relative…

A: We find the first and second derivative using power rule. Power rule: d/dx(x^n)=n*x^(n-1)

Q: At x = 3, the function given by f(x)={x2 , x<3 and 6x−9, x≧3 is? a) undefined b) continuous but…

A: Given function: fx=x2x&lt;36x-9x≥3 Clearly the function is defined on all real numbers. We have to…

Q: 2. Consider the graph of the functions f, and g (below). 1 0. 1 a) Which is larger, f(6) or g(6)? b)…

A: Given that, The graphs of function f and g as follows:

Q: Evaluate the function for the given values of x. h(x)= Part 1 of 5 h(-3)= Part 2 of 5 -5x+7 for x…

A: The given function,   hx=-5x+7for x≤-23x+2for -2&lt;x&lt;34for x≥3

Q: Find the domain and range of the following functions.

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Q: Question 2x - 8 For the function g(x) = evaluate g(2). 6x + 6 Provide your answer below: g(2) =

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Q: 2. Refer to g(x) as given in the table below. Find the function equation of g(x). 3. 4 g(x) 0.8 0.16…

A: We will solve the problem

Q: 3 + a2 – 4 4.x = r+1+ Consider the function f(x) Note that x2 - 4 x2 - 4 a*(x² – 12) (x2 – 4)?…

A: # vertical asymptotes are vertical lines ( parallel to y-axis ) which touches the curve at infinity…

Q: Let h(x)=f(x)g(x). If f(x)=−3x 2−4x+2 and g(x)=−x2 +3x+2, what is h′(−1)? Do not include "h′(−1)="…

A: Consider the function

Q: 1 The functionf is defined by f(x)= 2–Vx+ 5 for-5<x< 0. (i) Write down the range of f.

A: The objective of the question is find the range of the function f(x). And  solve the composition of…

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Given function is  y=e9-x2-2 which is of the form of exponential function and it exist.