Question

Let f(x) = 2ax-6 And g(x)= x^2+ a
If f(2)= g(2), what is a?
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Answer 1

a = 3
`(1)/(3)` or
`(10)/(3)`

Explanation:

Since
`f(2)=g(2)`,
`2a*2-6=2^2+a`.

Now let's solve for
`a`:

Simplify:
`4a-6=4+a`

Add 6 to both sides:
`4a=4+a+6`

Simplify:
`4a=10+a`

Subtract a from both sides:
`3a=10`

Divide both sides by 3:
`x=(10)/(3)`