Mathematics

Question

Does anyone know how to do these maths question???
Does anyone know how to do these maths question???

1 Answer

  • Answer:

    Part 1) [tex]f(g(x))=3(x^2)+2[/tex]

    Part 2) [tex]g(f(5))=289[/tex]

    Step-by-step explanation:

    we know that

    A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

    we have

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

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

    Part 1) Determine f(g(x))

    To find f(g(x)) substitute the function g(x) as the variable in function f(x)

    so

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

    Part 2) Determine g(f(x))

    To find g(f(x)) substitute the function f(x) as the variable in function g(x)

    so

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

    For x=5

    [tex]g(f(5))=(3(5)+2)^2[/tex]

    [tex]g(f(5))=289[/tex]