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Hello, May I please get some assistance with this homework question? I posted an image below. Question A has already been answered, but do need help with the other questions. Q2 (part b)

Hello May I Please Get Some Assistance With This Homework Question I Posted An Image Below Question A Has Already Been Answered But Do Need Help With The Other class=

Sagot :

ANSWER

• (g o f)(x) = ,16x² + 24x + 9

,

• B., the domain of g o f is all real numbers

EXPLANATION

The composition is,

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

This means that, to find the composition, we have to replace x with f(x) in the function g(x),

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

Now, replace f(x) with its expression,

[tex]g(f(x))=(4x+3)^2[/tex]

We can expand this binomial squared to write it in standard form. The composition is,

[tex](g\circ f)(x)=16x^2+24x+9[/tex]

As we can see, this is a polynomial function. Therefore, the domain is all real numbers.

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