Suppose that you have $5000 to invest, and you invest x dollars at 13% and the remainder at 1%. Write expressions in x that represent the following values. (a) the amount invested at 1%       (b) the interest earned on the x dollars at 13%       (c) the interest earned on the money invested at 1%       (d) the total interest earned

Q: Use f(x) = 3x - 2 and g(x) = 5 - x2 to evaluate the expression. (a) (fo A(-1) (b) (g o g)(-1)

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Q: Use f(x) = 3x – 4 and g(x) = 5 – x2 to evaluate the expression. - (a) (f o g)(-2) (b) (g o )(-2)

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Q: Use f(x) = 5x – 3 and g(x) = 4 – x2 to evaluate the expression. (a) (fo n(-1) (b) (g o g)(-1)

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Q: Use f(x) = 3x - 4 and g(x) = 5 – x² to evaluate the expression. (a) (fo g)(x) (b) (g o A(x)

A: f(x)=3x-4, g(x)=5-x2To find: a) (fog)(x)b)(gof)(x)

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A: The running time (in minutes) of a tv show is 30 - 0.5c, where c is the number of commercials aired…

Q: Use f(x) 5x - 2 and g(x) = 4 - x2 to evaluate the expression (a) (fo g)-2) X (b) (gon-2)

A: (a) The value of (fog)(-2) is evaluated as,

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A: Given:

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A: A company manufactures small canoes has a fixed cost of $24,000 and it costs $120 to produce each…

Q: x2 - 9 simplifies to x? – 1. 9. True or false:

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Q: Use f(x) = 6x - 7 and g(x) = 7 - x2 to evaluate the expression. (a) f(g(0)) (b) g(f(0))

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Q: Randall, a financial consultant, is preparing a spreadsheet for a future client. The client is…

A: Suppose the old value = x If the value of x increased by 45% then new value =1+percentage100old…

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A: Given graph of function, 2,5 To be found- f-1(2) f-1(5) f-1(6)

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Q: Two pools are being drained. To start, the first pool had 3650 liters of water and the second pool…

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Q: Use f(x) = 4x – 5 and g(x) = 2 - x² to evaluate the expression. (a) (fo g)(-2) (b) (go n(-2)

A: To find the given values

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A: Let the given function can be written as: 3cosx−x2=−53cosx=x2−5

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Q: Use f(x) = 3x – 2 and g(x) = 5 - x to evaluate the expression. (a) (fo g)(x) 1 (b) (g o f)(x) -59

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Q: For x# 0, the expression can be written as (1) 1 (3) x (2) x2 (4) x

A: Given expression: x63x4 The term x63 can be written as x613. The term x4 can be written as x412

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A: Given- The average of 5 test scores is "x". If the lowest score is removed from the 5 scores, the…

Q: Q3/ a) Convert the infix expression A+B. (C +D)-E/F.G+H/K to postfix notation

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Q: Use f(x) = 4x – 2 and g(x) = 5 – x² to evaluate the expression. (a) (fo g)(-2) (b) (g o n(-2)

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Q: Suppose that you have $4500 to invest, and you invest x dollars at 13% and the remainder at 6%.…

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Q: Simplify the difference quotient 1a+h)-f@ if h +0 and f (x) = 3x? – 2x + 1.

A: Consider the given expression: fa+h-fah Consider the given function: fx=3x2-2x+1 Now calculate…

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Q: for what value of x do the expressions 2x-3 and x + 9 take values with opposite signs?

A: It is given that the expressions 2x-3 and x+9 take values with opposite signs.

Q: Use f(x) = 4x - 5 and g(x) = 3 – x2 to evaluate the expression. (a) (fo g)(-2) (b) (g o )(-2)

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Q: Use f(x) = 5x - 6 and g(x) = 4 - x2 to evaluate the expression. (a) f(g(0)) 25x – 30 (b) g(f(0)) -12…

A: We have given : f(x) = 5x - 6                               g(x) = 4 -x2 To Find: a   fg 0b  gf0

Q: Use f(x) = 3x-4 and g(x)=5-2x² to evaluate the expressions in simplified form: a. (fog(x) b. (g•x)

A: Given functions: fx=3x-4gx=5-2x2

Q: Randall, a financial consultant, is preparing a spreadsheet for a future client. The client is…

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Q: Q3. Find the simplify the expression if f(x) = x² - 4 a) F(4) b) F(x + 1) c) F(√x)

A: We have to solve above function

Q: Use f(x) = 5x - 2 and g(x) = 4 - x2 to evaluate the expression. (a) (fo g)(-2) (b) (go )(-2)

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Q: Use f(x) = 2x - 5 and g(x) = 4 - x² to evaluate the expression. (a) (fo )(-1) 36 (b) (go g)(-1)

A: We know, (f∘g)(x)=f{g(x)}