To multiply 3 by 4 you do not need to use a function. You can do it as a straight calculation. However, Excel does provide a function that could be used to do it. The function is called PRODUCT and will multiply all numbers in it. In this case it could be used as follows:
=PRODUCT(3,4)
If the power is a positive integer, you can use repeated multiplication. For example: 34 = 3 x 3 x 3 x 3
When x = 7, f(x) = 3*(4-x) = 3*(-3) = -9
If 2x + 3y = 4, y= (4 - 2x)/3. In function notation, f(x) = (4 - 2x)/3.
(x - 4)(x + 3) foil y = x^2 - x - 12 ----------------------
The inverse of a function (G(x)) can be found by switching the roles of (x) and (y) and solving for (y). Given the function (G(x) = -\frac{4}{3}x + 2), let's find its inverse: Step 1: Replace (G(x)) with (y): [y = -\frac{4}{3}x + 2] Step 2: Swap (x) and (y): [x = -\frac{4}{3}y + 2] Step 3: Solve for (y): [x - 2 = -\frac{4}{3}y] [-\frac{3}{4}(x - 2) = y] So, the inverse function (G^{-1}(x)) is: [G^{-1}(x) = -\frac{3}{4}(x - 2)]
what is the sum of
It is f(x) = 4*3^x.
the function (x),sory I can`t use the sign of the function because it is not available. the function of (x)=4x+4 is one to one function assume function(x1)= function(x2) then 4(x1)+4 =4(x2)+4 4(x1)=4(x2) (x1)=(x2) hence,the function is one to one
f(x) = (2x^2 + 5x - 12)/(x + 4) as given, is not defined when the denominator is 0 ie when x + 4 = 0 or x = -4. However, 2x^2 + 5x - 12 = (x + 4)*(2x - 3) so that the function can be simplified to (x + 4)*(2x - 3)/(x + 4) = 2x - 3 This has a zero when 2x - 3 = 0 ie 2x = 3 or x = 1.5
Multiply the factors together to get the function itself.You'll need to use basic distributive properties to multiply factors:a(b+c) = ab + ac(a+b)(c+d) = ac+ad+bc+bdAs a simple example,(1+2)(3+4) = 1*3 + 1*4 + 2*3 + 2*4 = 3*7 = 21Now, apply this to your factors, which are often given in the form (x+c).For instance, given the following two factors of the function f(x), find the function:Factors: (x+2), (x+3), x1.Define the function as a product of its factorsf(x) = x(x+2)(x+3)2. multiply the two binomial factorsf(x) = x*(x*x + x*3 + 2*x + 2*3)3. multiply the result by the remaining factor (x)f(x) = x*x*x + x*x*3 + x*x*2 + x*2*34.simplify the resultf(x) = x3 + 5x2 + 6x
The inverse for f(x) = 4x + 8 isg(x) = x/4 - 2
Well, honey, a point of discontinuity is not the same as a critical point in calculus. A critical point is where the derivative is either zero or undefined, while a point of discontinuity is where a function is not continuous. So, in short, they may both be important in their own ways, but they're not the same thing.