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Using f(x) = 2x - 3 and g(x) = 5, find f(g(3)).7530None of the choices are correct.I don’t think my answer is right please help me thank you

Using fx 2x 3 and gx 5 find fg37530None of the choices are correctI dont think my answer is right please help me thank you class=

Respuesta :

As per given by the question,

There are given that function,

[tex]\begin{gathered} f(x)=2x-3,\text{ } \\ g(x)=5 \end{gathered}[/tex]

Now,

Find the value of f(g(3)).

Then,

There are given that,

[tex]g(x)=5[/tex]

And,

According to question, value of x is 3, that means g(3).

So,

Put the value of x in g(x).

Then,

[tex]\begin{gathered} g(x)=5 \\ g(3)=5 \end{gathered}[/tex]

Now,

For find the value f(g(3));

Put the value of g(3) in the above condition,

f(g(3)).

So,

[tex]f(x)=2x-3[/tex]

Instead of x in f(x), put the g(3).

Then,

[tex]\begin{gathered} f(g(3))=2x-3 \\ f(5)=2\times5-3 \\ f(5)=10-3 \\ f(5)=7 \end{gathered}[/tex]

So, the value of f(g(x)) is 7.

Hence, the option first is correct.

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