markzurita
markzurita markzurita
  • 30-04-2019
  • Mathematics
contestada

If f(x)=2x+3 and g(x)=x^2+1 find f(g(3))

Help!!
A.23
B.47
C.82
D.90

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 30-04-2019

Answer

A. 23

step-by-step explanation

[tex]g(x) = {x}^{2} + 1[/tex]

We put x=3 into the function g

[tex] \implies g(3)= {3}^{2} + 1[/tex]

[tex] \implies \: g(3)=10[/tex]

Also,

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

we substitute the value of g(3) into f

[tex]\implies f(g(3))=f(10)[/tex]

[tex]\implies f(g(3))=f(10) = 2(10) + 3[/tex]

[tex]\implies f(g(3))=23[/tex]

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