SOLUTION: Let the function "f" be defined by f(x)= x + 1. If 2f(p)=20, what is the value of f(3p)?

Question 462531: Let the function "f" be defined by f(x)= x + 1. If 2f(p)=20, what is the value of f(3p)?
Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Let the function "f" be defined by f(x)= x + 1. If 2f(p)=20, what is the value of f(3p)?
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We will solve this problem by making a series of substitutions. First, we want to find the value of p. Then we can use the definition of the function f to find the value of f(3p).
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We are given
f(x) = x + 1
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Multiply both sides by 2, and simplify.
2f(x) = 2(x + 1)
2f(x) = 2x + 2
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Let x = p.
2f(p) = 2(p) + 2
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We are given that 2f(p) = 20. Substitute 20 for 2f(p).
20 = 2p + 2
2p = 18
p = 9
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Now we know that p = 9, so we can find f(3p).
f(x) = x + 1
f(3p) = 3p + 1.
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Substitute 9 for p.
f(3p) = 3(9) + 1
f(3p) = 27 + 1
f(3p) = 28
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hope this helps!
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Ms.Figgy
math.in.the.vortex

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