Question

Given that f(x) = 6x 2 and g(x) =2x=4/5 , solve for g(f(1))

Answer 1

Answer:

The answer would be 4.

Step-by-step explanation:

What you have to do here is you have to substitute

So the problem told you the f(x) = 1. So what you want to do is plug that into the function f(x).

So:

f(x) = 6(1)2

     = 8

Now we know that f(x) = 8, so what we going to do now is plug f(x) into g(x).

So:

g(f(8)) = 2(8) + 4/5

         = 4

Answer 2

The value of g(f(1)) is 4.

Composite function -

• Composition of functions is the process of plugging one function into another, and simplifying or evaluating the result at a given x-value.
• Another way to read it is "f circle g of x." It is a process that joins two functions to create a third, unique function.

Given ,

            f(x) = 6x + 2

            g (x) = 2x + 4 /5

To get value of g(f(1)) first  we have to solve f(x).

               f(x) = 6x + 2  .......................(1)

We simply put x = 1 in equation 1 .

         Then, F(1) = 6 × 1 + 2 ⇒ 8

Now , we put value of f(1) in g(f(1)) ,

So,     g(f(1)) = $\frac{2x + 4}{5}$

                    = $\frac{2 * 8 + 4}{5}$

                    = $\frac{16 + 4}{5}$

                    = 20/5 ⇒ 4

Therefore, the value of g(f(1)) is 4 .

Learn more about Composite function brainly.com/question/24780056 here

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