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nataly862011 [7]
3 years ago
10

For function of g,g(0)=1 and g(1)=5 assuming g is a linear function what is g(3)​

Mathematics
1 answer:
lawyer [7]3 years ago
3 0

Answer:

g(3) = 13

Step-by-step explanation:

Given

g(0) = 1

g(1) = 5

Required

Find g(3)

Since g(x) is a linear function, then:

g(x) = mx + c

For: g(0) = 1

g(x) = mx + c

g(0) = m*0 + c

1 = 0 + c

1 = c

c = 1

For: g(1) = 5

g(x) = mx + c

g(1) = m * 1 + c

5 = m * 1 + c

5 = m + c

Substitute c = 1

5 = m + 1

m = 5 - 1

m =4

So, the function is:

g(x) = mx + c

g(x) = 4x + 1

Calculate g(3)

g(3) = 4*3 + 1

g(3) = 12 + 1

g(3) = 13

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