If f(x)=2x and g(x)=5x, What is f(g(x)) when x=3?

Step-by-step solution-:

f(\textcolor{primary}{x})=2\textcolor{primary}{x}

Substitute the g(x) instead of x into the above expression:

Now,

If f(x)=2x and g(x)=5x What is f(g(x)) when x=3?.

f(g(x))=2g(x)

Substitute the g(x)=5x on the right-hand side into the above expression:

f(g(x))=2(5x)

After simplifying we get,

f(g(x))=10x

Substitute the x=3 into the above expression:

f(g(3))=10\times3

After simplifying we get,

f(g(3))=30

The value of f(g(3)) is 30.

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