f(x)=4x-x2. Simplify f(a+h)-f(a)/h

Q: Find the domain of the function : f(x) = 1/(x + 7) + 3/(x - 9).

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Q: Find the domain of the function    f(x)= 31x/x-3

A: For any rational function the denominator can not be 0.

Q: What is the point of inflection for the function f(x) = x³ + 2x² – 3x - 4? %3D

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Q: Evaluate the function for fx) = x + 3 and g(x) = x2 – 2. (fg)(8) (fg)(8) =

A: The functions f(x)=x+3 and g(x)=x2-2. We have to find fg8=?

Q: If f(x)=7x-10, find f-1(18)

A: Since f is a linear function therefore to find the required value we need to find the value of x for…

Q: Find f(₂ + 2)(x - 7)dx + C

A: The given integral is: I=∫x+2x-7dx   As we know that, The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power…

Q: Is f(x) = 2x3 - 5 a one-to-one function?

A: A function f(x) is said to one one if, fx1=fx2⇒x1=x2

Q: If f(x)=5ex, find f(3).

A: Given function:

Q: using f(x)=(3x)^2-5x-12, find f(-3)

A: Given    f(x) = (3x)^2 - 5x - 12 , then f(-3) = ?

Q: If (fg)(x) = 4x2 - x - 5, find f and g.

A: Given:(fg)(x)=f(x)·g(x)=4x2-x-5 we will factor the quadratic…

Q: Write the f(x) = |3x − 1| in its piecewise-defined form.

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Q: The function T(x)=65x is the number of words, T(x) that a secretary can type in x minutes. How many…

A: Consider the given function as Tx=65x Where Tx that a secretary can type in x minutes.

Q: Don't we exlude -3 from the domain because of the value of f(x)?

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Q: Find both of the two x intercepts of the function F(x)= (x-3)(x+7)/x(x-5) Smaller intercept = Larger…

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Q: For f(x) = 7x-1 + 5, find f -1 (x).

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Q: f(x) = x-5/x+8 find the domain

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Q: if f(x-j) = 2x4-x3+2x2+x, find the value of f(x/j)

A: Note:- For this problem, nothing is mentioned about j. If it is a complex number or a variable. For…

Q: Find the difference of the two functions A(x)=1x-6 and B(x)=x+8x-2 at 6

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