Answer :

GinnyAnswer
To solve the problem and find the value of [tex]\( f(1) \)[/tex] for the given function [tex]\( f(x) = 2 \cdot 2^x + 1 \)[/tex], follow these steps:

1. Substitute [tex]\( x = 1 \)[/tex] into the function:

We start by substituting the value of [tex]\( x \)[/tex] with 1 in the given function:
[tex]\[ f(1) = 2 \cdot 2^1 + 1 \][/tex]

2. Simplify the expression inside the function:

First, calculate the exponent part:
[tex]\[ 2^1 = 2 \][/tex]

3. Multiply the result by 2:

Now multiply the result from the exponentiated term by 2:
[tex]\[ 2 \cdot 2 = 4 \][/tex]

4. Add 1 to the result:

Finally, add 1 to the product obtained in the previous step:
[tex]\[ 4 + 1 = 5 \][/tex]

Therefore, the value of [tex]\( f(1) \)[/tex] is:
[tex]\[ f(1) = 5 \][/tex]

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