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Function f is defined by f(x) = 2x – 7 and g is defined by g(x) = 5*

Function f is defined by f(x) = 2x – 7 and g is defined by g(x) = 5*-example-1
User NewToJS
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1 Answer

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Answer

f(3) = -1, f(2) = -3, f(1) = -5, f(0) = -7, f(-1) = -9

g(3) = 125, g(2) = 25, g(1) = 5, g(0) = 1, g(-1) = 0.2

Explanation:

Given the following functions

f(x) =2x - 7

g(x) = 5^x

find f(3), f(2), f(1), f(0), and f(-1)

for the first function

f(x) = 2x - 7

f(3) means substitute x = 3 into the function

f(3) = 2(3) - 7

f(3) = 6 - 7

f(3) =-1

f(2), let x = 2

f(2) = 2(2) - 7

f(2) = 4 - 7

f(2) =-3

f(1) = 2(1) - 7

f(1) = 2 - 7

f(1) =-5

f(0) = 2(0) - 7

f(0) =0 - 7

f(0) = -7

f(-1) = 2(-1) - 7

f(-1) = -2 - 7

f(-1) = -9

g(x) = 5^x

find g(3), g(2), g(1), g(0), and g(-1)

g(3), substitute x = 3

g(3) = 5^3

g(3) = 5 x 5 x 5

g(3) = 125

g(2) = 5^2

g(2) = 5 x 5

g(2) = 25

g(1) = 5^1

g(1) = 5

g(0) = 5^0

any number raised to the power of zero = 1

g(0) = 1

g(-1) = 5^-1

g(-1) = 1/5

g(-1) = 0.2

User Javiyu
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