5.5-5.6 Operations and Inverses of Functions

f(x)=x²+1

g(x)=2x-5

Find (f-g)(x)

• x²-2x+6

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

f(x) = 4x + 1 and g(x) = 4x - 3

Find (fg)(x)

• 16x² + 8x - 3

• 16x² - 8x + 3

• 16x² - 8x - 3

• 16x² - 16x - 3

(L3) Given f(x) = x² - 25 and g(x) = x - 5 , find the quotient (f/g)(0), if it exists.

• (f/g)(0) does not exist
• 10
• 5
• 0

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

f(x)=3x²+1
g(x)=4x+5
What is (f+g)(2)

• 13
• 0
• 26
• 6x²+8x+12

Tags

CCSS.HSF-BF.A.1B

• $x^{\frac{9}{2}}$

• $x^5$

• $\frac{5}{2}x^2$

• $2x^{10}$

• All real numbers

• $x\ne0$

• $x\ge0$

• $x>0$

• $-3x^{\frac{3}{2}}$

• $-\frac{1}{3x^{\frac{1}{2}}}$

• $-\frac{x^{\frac{1}{2}}}{3}$

• $-\frac{3x^2}{2}$

• All real numbers

• $x\ne0$

• $x\ge0$

• $x>0$

• All real numbers

• $x\ne0$

• $x\ge0$

• $x>0$