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Use the functions f(x) = x + 5 and g(x) = 2x - 6 to find the specified function. glof 1 (g-1 of 1) (x)

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Use the functions f(x) = x + 5 and g(x) = 2x - 6 to find the specified function. glof 1 (g-1 of 1) (x) =Assume that y is directly proportional to x. Use the given xvalue and yvalue to find a linear model that relates y and x. x=8,y=1 Find a mathematical model for the verbal statement. (Use k for the constant of proportionality.) For a constant temperature, the pressure P of a gas is inversely proportional to the volume 'v'of the gas. S The maximum load that can be safely supported by a horizontal beam varies jointly as the width of the beam and the square of its depth and inversely as the length of the beam. Determine the changes in the maximum safe load under the following conditions. (a) The width and length of the beam are quadrupled. O The maximum safe load is half as great. 0 The maximum safe load is unchanged. 0 The maximum safe load is four times as great. 0 The maximum safe load is sixteen times as great. 0 The maximum safe load is sixtyifour times as great. (b) The width and depth of the beam are quadrupled. O The maximum safe load is half as great. 0 The maximum safe load is unchanged. 0 The maximum safe load is four times as great. 0 The maximum safe load is sixteen times as great. 0 The maximum safe load is sixty-four times as great

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