Find the linear approximation of f(x)=√x when x = -27.

Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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Q: If f(x)= square root x​,find f′(3).

A: Given  f(x) = square root x        = √x        = x^(1/2)

Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: Let f(x)= √x. Find g(x), the function that is f(x) shifted up 7 units and left 3 units.

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Q: Find the inverse of the function f (x)= \x-2.

A: To find the inverse of the function,  Let y=f(x) Therefore, x=f-1(y) Substitute y in place of f(x)…

Q: what is the inverse of the linear function  f (x)2/3 x - 6?

A: Solution: Consider the given linear function is: f(x) = 23x - 6 A function g is the inverse of f if…

Q: Given the one-to-one function defined by f(x) = Vx – 4 + 1- write an equation for f -1(x).

A: The given one-to-one function is To find the inverse of f(x), replace f(x) by y. Now interchange…

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: The annual vehicle sales for Toyota and Volkswagen can be modeled by the functions T(t) = 0.103t+…

A: We need to find year when no. of cars will be same.

Q: Find f(7) if f(x) = 5x – 1.

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Q: Find the x-coordinate of the point where the function f(x) = x5 5 - x4 7x3 13x² + - 6x 4 3 2 has a…

A: Given Find first derivative f'(x).Now equate f'(x) = 0.The x-coordinates of the stationary points…

Q: Compute f(x) if x = 1, 1 3x-4 Round your final answer to 2 decimals. f(x) = Your Answer: + Answer…

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Q: Find f−1(x) for f(x)=11+12x.

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Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given