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f(x) = 2x^2 and g(x) = 3x+4 find: (g o f) (5)

Sagot :

Recall the definition of the composition between two functions:

[tex](g\circ f)(x)=g(f(x))[/tex]

Then, to find (g o f) (5), evaluate g at f(5).

[tex]\begin{gathered} f(x)=2x^2 \\ \Rightarrow f(5)=2(5)^2=2\cdot25=50 \end{gathered}[/tex][tex]\begin{gathered} g(x)=3x+4 \\ \Rightarrow g(50)=3(50)+4=150+4=154 \end{gathered}[/tex]

Therefore:

[tex](g\circ f)(5)=g(f(5))=g(50)=154[/tex]

Then, the value of (g o f) evaluated at 5 is 154.

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