Answer:
3(x² + 1) + 2
Step-by-step explanation:
(f ○ g)(x) = f(g(x))
Substitute x = g(x) into f(x), that is
f(x² + 1) = 3(x² + 1) + 2 ← is the equivalent statement
Answer:
y − 3 = 2(x − 1)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m=2, h=1, k=3, so the equation is ...
y -3 = 2(x -1)
Answer:
x=13
Step-by-step explanation:
9^2 * 27^3 = 3^x
We need to get each term with a base of 3
9^2 = (3^2) ^2
We know that a^b^c = a^(b*c)
(3^2) ^2 = 3^(2+2) = 3^4
27^3 = (3^3) ^3 = 3^(3*3) = 3^9
Replacing these in the original equation
3^4 * 3^9 = 3^x
We know that a^b *a^c = a^(b+c)
3^4 * 3^9 =3^(4+9) = 3^13 = 3^x
The bases are the same, so the exponents must be the same
x=13
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