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Composition of Functions: Composing Functions at Points
Suppose you are given the two functions f (x) = 2x + 3 and g(x) = –x2 + 5. ... in forx, then you plug that value into g, simplify, and then plug the result into f. |
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Operations on Functions - Purplemath
To find the answers, all I have to do is apply the operations (plus, minus, times, and ... (f + g)(x) = f(x) + g(x) = [3x + 2] + [4 – 5x] = 3x – 5x + 2 + 4 = –2x + 6 ... If you work symbolically first, and plug in the x-value only at the end, you'll still get the ... |
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Derivatives of exponential and log functions
4) If f(x) = ln g(x), then f '(x) = g'(x)/g(x) [g(x) > 0] ... 5) f(x) = ln ( 3x2 - 5x) Again, use rule 4 above! g(x) = 3x2 - 5x, g'(x) = 6x - 5. f '(x) = (6x - 5)/(3x2 - 5x). 6) f(x) = 5x ln x2 Use the product rule and rule 4 above! ... 1) f(x) = 3x2(5x2 + 6) Find f'(x) |
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Functions - MathsRevision.net
If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f( 4), which is found by replacing x"s by 4"s . Example. If f(x) = 3x + 4, find f(5) and f( x + 1). ... So if y = x2, we can choose the domain to be all of the real numbers. |
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20-2
Therefore, f'(x) = 2x for any point on the curve of x2. Now find the slope at the point x = 2 and then at x = -3. Piece of cake. ... 1) If f(x) = c, where c is a constant, then f '(x) = 0. This makes ... b) f(x) = x3 + 4x2 - 5x + 3, f '(x) = 3x2 + 8x - 5. Find the ... |
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Inverse functions - Topics in precalculus - The Math Page
Say, for example, that a function f acts on 5, producing f(5). ... Functions f(x) and g (x) are inverses of one another if: ... f(g(x)) = f(x − 2) = (x − 2) + 2 = x,. and ... In Topic 21 we will see that the inverse of y = logbx is the exponential function y = b x. |
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The chain rule - An approach to calculus - The Math Page
The derivative of a function of a function. Let. f (x) = x5 and g(x) = x2+ 1. If we now let g(x) be the argument of f, then f will be a function of g. f (g(x)) = (x2+ 1)5. |