Generate Quiz 6974A5333A0D8

The domain will be {3,5,7,-9} since it contains the first element of every ordered pair, as in R={(3,0),(5,1),(7,-3),(-9,0)}.

The expression of g(x) must be entered into the function f(x) in order to find f(g(x)).

Given:

f(x) = x^2 + 1.

g(x) = 5x + 1.

Converting g(x) to f(x):

f(g(x)) = (5x + 1)^2 + 1

= 25x^2 + 10x + 1 + 1

= 25x^2 + 10x + 2.

Thus, a) 25x^2 + 10x + 2 is the right response.

We must change g(x) into f(x) in order to find f(g(x)).

Since g(x)=3x+7 and f(x)=4x+5, let’s replace

f(g(x))=f(3x+7)

Now, replace x in f(x)=4x+5 with 3x+7:

f(g(x))=4(3x+7)+5

Give out the four:

f(g(x))=12x+28+5

Put similar terms together:

f(g(x))=12x+33

Therefore, choice (B) is the right one.

16 is the right response.

We must first determine the value of g(4) and then enter it into the function f(x) in order to find f(g(4)).

Given:

f(x) = (x + 1)^2

g(x) = x – 1

Step 1: Determine g(4)’s value.

g(4) = 4 – 1 = 3.

Step 2: Enter g(4) = 3 into the f(x) function.

f(g(4)) = f(3)

f(3) = (3 + 1)^2 = 4^2 = 16

The right response is b) (2x + 3)^3.

g(x) =x3 f(x)=2x+3

gof(x)=g(f(x))=g(2x+3)=(2x+3)2.