Find the domain of f ( x ) = x − 3 x + 4 f\left(x\right)\ =\ \frac{x-3}{x+4} f ( x ) = x + 4 x − 3 .

( − ∞ , − 4 ) ∪ ( − 4 , ∞ ) \left(-\infty,-4\right)\cup\left(-4,\infty\right) ( − ∞ , − 4 ) ∪ ( − 4 , ∞ )

( − ∞ , ∞ ) \left(-\infty,\ \infty\right) ( − ∞ , ∞ )

( − ∞ , 3 ) ∪ ( 3 , ∞ ) \left(-\infty,3\right)\cup\left(3,\infty\right) ( − ∞ , 3 ) ∪ ( 3 , ∞ )

( − ∞ , − 4 ) ∪ ( − 4 , 3 ) ∪ ( 3 , ∞ ) \left(-\infty,-4\right)\cup\left(-4,3\right)\cup\left(3,\infty\right) ( − ∞ , − 4 ) ∪ ( − 4 , 3 ) ∪ ( 3 , ∞ )

composite and inverse functions( test part 1)

Authored by Ayman Aziz

Mathematics

10th - 12th Grade

CCSS covered

Used 15+ times

composite and inverse functions( test part 1)

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25 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

-4

None of these.

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

x²+2x+3

4x²+3

2x²+3

2x²+6

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

9x² - 6x + 1

3x - 1

3x² - 1

9x² - 1

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

-10

None of these.

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

f(g(x))= -6x²+31

f(g(x))= -6x²+24

f(g(x))=18x²-84x+6

f(g(x))=9x²-42x-1

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

g(f(x))= -3x²-6

g(f(x))= -3x²+2

g(f(x))=9x²+2

g(f(x))= -9x²+2

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

182

None of the Above

Tags

CCSS.HSF-BF.A.1C

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composite and inverse functions( test part 1)

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

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

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

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

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

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

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

Find the inverse of f(x) = -4x - 12

Find the inverse of
f(x) = 1/4x - 7

Are the following inverses of each other?

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Popular Resources on Wayground

Discover more resources for Mathematics

composite and inverse functions( test part 1)

f(x) = 3x + 10g(x) = x - 2Find (f∘g)(0)

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

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

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

Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).

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

Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of f(g(4)).

Find the inverse of f(x) = -4x - 12

Find the inverse of f(x) = 1/4x - 7

Are the following inverses of each other?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

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

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

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

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

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

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

Find the inverse of
f(x) = 1/4x - 7