Answer:
a = 3 [tex]\frac{1}{3}[/tex] or [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
Since [tex]f(2)=g(2)[/tex], [tex]2a*2-6=2^2+a[/tex].
Now let's solve for [tex]a[/tex]:
Simplify: [tex]4a-6=4+a[/tex]
Add 6 to both sides: [tex]4a=4+a+6[/tex]
Simplify: [tex]4a=10+a[/tex]
Subtract a from both sides: [tex]3a=10[/tex]
Divide both sides by 3: [tex]x=\frac{10}{3}[/tex]
