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Andru [333]
3 years ago
5

What is the inverse of the function f(x) = 4x + 8?

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0

eplace f(x) with y

swtich x and y

solve for y

replace y with f⁻¹(x)

f(x)=4x+8

y=4x+8

x=4y+8

x-8=4y

1/4x-2=y

y=1/4x-2

f⁻¹(x)=1/4x-2

none of the above

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see explanation

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with (x₁, y₁ ) = A(1,8) and (x₂, y₂ ) = C(4,2)

AC = \sqrt{(4-1)^2+(2-8)^2}

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Repeat with

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AB = \sqrt{(2-1)^2+(6-8)^2}

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       = \sqrt{1+4}

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So AB = \sqrt{5} and AC = 3\sqrt{5}

Thus

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