Evaluating Function Composition

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

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

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

• x²+6
• x²+12x+36
• x²+2x+6
• 2x+12

Tags

CCSS.HSF-BF.A.1C

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

• g(f(x))= -6x² + 31

• g(f(x))= -6x² + 24

• g(f(x))=18x² - 84x + 90

• g(f(x))=9x² - 42x - 41

Tags

CCSS.HSF-BF.A.1C

Find f(h(5)) based on the graphs of f(x) and g(x)

• -6

• -3

• 6

• 2

Tags

CCSS.HSF-BF.A.1C

Given j(x) = ∛(x-1)
and h(x) = x³+1,
find j(h(x)).

• x³+3x²-9x-3

• x

• x³-3x²+3x-1

• j(x) * h(x)

Tags

CCSS.HSF-BF.A.1C

The composition of any function, f(x), and
its inverse, f^-1(x) = 

• x

• f(x)

• 1

• 0

Tags

CCSS.HSF-BF.B.4B

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

Tags

CCSS.HSF-BF.A.1C

When 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