Show that for all x E (0, 00) we have In(x)

Q: Find the value of the constant c that makes the following function co f(x) = = uous [cx + 7 cx² 7 if…

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Q: LET f(z) –1* and g(x) –1-2. DETERMINE oquations for both (fog(r) and (gof)(z).

A: Given:-              f(x) = x2               g(x) = x - 2

Q: 3 Let f(x) = ー1 Find f-1(x) and (ff)(x). Explain in detail all the steps.

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Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 4]

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Q: f = (-0.17) =

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Q: a) Use the graph to list in order, from smallest to largest. 2- -1 -0.5 9 0.5 1 15 2 25 3 3.5 b)…

A: From the graph the integral can be find by adding area under curves. If the area is  under curve is…

Q: Given the following function, find f(x) where (-1,6) is a point on the graph of the function.

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Q: state all intervals of x where f(x) is increasing.

A: TO FIND INTERVAL WHERE f(x) is INCREASING FIND f '(x) and see interval where f '(x) >0 f(x)…

Q: Let X=[-1,1] and Y=[0,1], and define the function f:X-->Y by f(x)=x^2. Which of the following is NOT…

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Q: f (x) = x + 2x³ – x² – 2 %3D

A: Given: Determine if the given function is continuous at every real number f(x)=x4+2x3-x2-2

Q: Evaluate the function f(x) = e* + In (x + 6) at 0. (Express numbers in exact form. Use symbolic…

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Q: Identify the vertex of the following function. f (x) = -a? + 4æ – 4

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

A: We have to find the value of function at the given values.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.