Operations with Functions

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

• 39
• -27
• -23
• -19

Tags

CCSS.HSF-BF.A.1B

Given f(x) = x² + 5 and g(x) = 2x³ - 1, find (f/g)(-3).

• -14/55
• 14/55
• 2
• -2

Tags

CCSS.HSF-BF.A.1B

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1B

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

Tags

CCSS.HSF-BF.A.1C

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Tags

CCSS.HSF-BF.A.1C

For f(x)=x² + 7 and g(x)= √(2-x), find the domain of f(g(x)).

• [2, ∞)

• (- ∞, ∞)

• (- ∞, 2]

• (- ∞, 9)U(9, ∞)

When you want to find the inverse of a function, you first

• Solve for y

• Change to exponential form

• Switch x and y

• Change to logarithmic form

Tags

CCSS.HSF-BF.B.4A

 $g\left(x\right)=4x+5$  

 $f\left(x\right)=3x-6\ \$  find  $\left(f-g\right)\left(3\right)$  

• 20

• -14

• -17

• -4

Tags

CCSS.HSF-BF.A.1B

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

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x)=x² + 1

g(x)=2x - 5

Find f(x) - g(x)

• x² - 2x + 6

• -x² + 2x + 4

• -x² - 2x - 6

• x² - 2x - 4

Tags

CCSS.HSF-BF.A.1B