Composition of functions

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

• 7

• 97

• 13

• 6

Given f and g in the graph,

what is f(g(2)) ?

• 3

• 8

• 1

• 4

Given f and g in the graph,

what is (f ° g)(-1) ?

• 1

• 4

• -1

• 6

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

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

Given  $f\left(x\right)=3x^2-2x+1$  and  $g\left(x\right)=x-4$  , find  $\left(f\times g\right)\left(x\right)$  

•  $3x^3-10x^2-7x-4$  

•  $3x^3-14x^2+9x-4$  

•  $3x^2-x-3$  

•  $3x^3+14x^2-9x-4$  

Given $f(x)=x^2+5$   and  $g(x)=2x^3-1$  , find $\left(\frac{f}{g}\right)\left(-3\right)$ .

• -14/55

• 14/55

• 2

• -2

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

If  $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then  $\left(f\cdot g\right)\left(x\right)=$ 

•  $5x-3$  

•  $5x^2+2$  

•  $5x^2-7x+2$  

•  $5x-7$