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3 years ago

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find fg and state its domain.

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

7 0

Answer:

$f(g(x))=-30x-21$

The domain is all real numbers

Step-by-step explanation:

we have

$f(x)=-6x+3$

$g(x)=5x+4$

we know that

$(fog)(x)=f(g(x))$

In the function f(x) substitute the variable x by the function g(x)

$f(g(x))=-6(5x+4)+3$

$f(g(x))=-30x-24+3$

$f(g(x))=-30x-21$

This is a linear function (equation of a line)

The domain is all real numbers

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