Composite Functions Domain

Q1. What is the value of x in the equation 9 - √17 = x?

• A) 9 - √17

• B) 4

• C) 2

• D) √8

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19

• 23

• -10

• None of these.

If f(x) = 1/x and g(x) = x - 10, what is the domain of f(g(x))?

• {x | x not equal to 0}

• {x | x not equal to -10}

• {x | x not equal to 10}

• {x | x is all real numbers}

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Compose the Function and Determine the Domain

• (-inf, 0) U (0, inf)

• (-inf, -1/2) U (-1/2, 3/2) U (3/2, inf)

• (-inf, 1/2) U (1/2, 3/2) U (3/2, inf)

• (-inf, -3/2) U (-3/2, 1/2) U (1/2, inf)

Which one is the same as fοg(x)

• g(f(x))

• f(g(x))

What is the DOMAIN in the given figure?

• {1}

• {1, 4}

• {-2, -1, 1, 2}

• {-2, -1, 1, 2, 4}

Given f(x) = 2x and
g(x) = x²+3 , find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Which option below is the same as (f∘g)(x) (How can you rewrite this)

• f(x)*g(x)

• f(g(x))

• g(f(x))

• (f*g)(x)

What is the RANGE in the given figure?

• {1}

• {1, 4}

• {-2, -1, 1, 2}

• {-2, -1, 1, 2, 4}