Find the inverse of the function. f(x) =  x + 5 x + 7 f −1(x) =         ,   on domain (−∞, 1) ∪ (1, ∞)

Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

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Q: Let f(x) = x + 3 if x ≥ 5, 8 if x < 5. Find f(12) - f(-12).

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Q: Find the inverse of the function on the given domain. f(x) = (x − 13)2, [13, ∞) -

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Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x

Q: Determine whether the function x² +3 (x - 1)² is even, odd or neither. h(x) =

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Q: Find the inverse of the function on the given domain. f-1 (x) = f(x) = (x - 18)2, [18, ∞)

A: Inverse of function f(x)=(x-18)2 . In the interval [18, infinity) is  f-1(x)= 18+sqrt(x)

Q: Find the derivative of each function. h(x) = (4x³ + 8x)(16 – 5x³) 145x7 – 240x4 – 192x4 + 128 -160x7…

A: We know that the power rule of derivative and constant rule of derivative . ( c •x n ) ' = c • ( x n…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: