Question

Given that f(x) = x² + 2x + 3 and g(x) =x+4
3, solve for f(g(x)) when x = 2

Answer 1

After solving for f(g(x))when x=2, we get the value as 11.

What is an equation?

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

These two expressions on either side of the equals sign are called the “left-hand side” and “right-hand side” of the equation. We generally assume the right-hand side of an equation is zero.

In algebra, an equation is a condition on a variable. It is satisfied only for a definite value of the variable. That means, the equation 2x – 5 = 13 is satisfied only for x = 9.

In question, it is given that x=2 and we to find the value of f(g(x))

It is given that f(x)=x²+2x+3 and

                        g(x)=$\frac{x+4}{3}$

So now,

f(g(x))= ($\frac{x+4}{3}$)² + 2($\frac{x+4}{3}$) + 3

f(g(2)) = ($\frac{2+4}{3}$)² + 2($\frac{2+4}{3}$) + 3

= ($\frac{6}{3}$)² + 2($\frac{6}{3}$) + 3

= 2² + 2(2) + 3

= 4 + 4 + 3

f(g(x))= 11

So the value of the equation is 11.

To learn more about equations,

https://brainly.com/question/14107099

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