Remember that a function is a rule that assigns to each element in the domain one and only one element in the range. If f(x) = 8x+4, find the domain value, a, such that f(a)=1.6

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f(x) = 8x +4

Given that f(a) = 1.6

We need to find the values of a.

We will substitute with x= a into the function f(x).

==> f(a) = 8a +4 = 1.6

Now we will solve for a.

==> 8a = 1.6 -4 = -2.4

Now we will divide...

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f(x) = 8x +4

Given that f(a) = 1.6

We need to find the values of a.

We will substitute with x= a into the function f(x).

==> f(a) = 8a +4 = 1.6

Now we will solve for a.

==> 8a = 1.6 -4 = -2.4

Now we will divide by a.

==> a = -2.4/8 = -0.3

Then there are only one values of a that satisfies the function which is a= -0.3

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