Question

Suppose that the functions s and t are defined for all real numbers x as follows: s(x) = x-2, t(x) = 4x+2, write the expressions for (s*t)(x), (s-t)(x) and (s+t)(2)

          Suppose that the functions s and t are defined for all real numbers x as follows: s(x) = x-2, t(x) = 4x+2, write the expressions for (s*t)(x), (s-t)(x) and (s+t)(2)
        

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Suppose that the functions s and t are defined for all real numbers x as follows: s(x) = x-2, t(x) = 4x+2, write the expressions for (s*t)(x), (s-t)(x) and (s+t)(2)
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Transcript

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00:01 So here we have two functions s of x equals 5x and t of x equals 4x minus 5.
00:07 So we're going to find the product of s and t, the difference, and the sum.
00:13 So for the product this is simply going to be s of x multiplied by t of x which is going to equal 5x times 4x minus 5.
00:23 We're then going to distribute the 5x to both of our terms.
00:28 So 5x times 4x is going to give us 20x squared and 5x minus 5 is going to give us negative 25x.
00:35 So this is the product between those two functions.
00:39 For s minus t of x that is simply just s of x minus t of x which is going to equal 5x minus 4x minus 5...
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