Common Core Standard HSF-BF.A.1 Questions

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Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

For

$f(x)=1/x$ and g(x)=x+3, find (f∘g)(−2).

Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b

Find

$(f*g)(x)$ if

$f(x) = 2x-5$ and

$g(x) = x+3$ .

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b

Find

$(f-g)(x)$ .

$f(x)=3x$

$g(x)=-2x+6$

Grade 10 Sequences and Series CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-BF.A.2, HSF-LE.A.2

Given the sequence

$n in NN$ .

Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

$f(x) = a*e^(b x)$ , where

$\ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ 10 \ \ \ \ \ \$	$\ \ \ \ \ \ 11 \ \ \ \ \ \$	$\ \ \ \ \ \ 12 \ \ \ \ \ \$	$\ \ \ \ \ \ 13 \ \ \ \ \ \$	$\ \ \ \ \ \ 14 \ \ \ \ \ \$
$\ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \$	$-5.28$	$-5.84$	$-6.4$	$-6.96$	$-7.52$

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b

$f(x) = {{:(6 , 0 <= x <4),(-x+10, 4 <= x <7),(3, 7 <= x <=10):}$ and

$g(x) = 1/(x-1)$ , find

$(f+g)(x)$ and its domain.

$(f+g)(x) = {{:( (6x \ - \ 5)/(x \ - \ 1) , 0 <=x<4"," \ x!=1), ((-x^2 \ + \ 11x \ - \ 9)/(x \ - \ 1), 4 <= x <7),((3x \ - \ 2)/(x \ - \ 1), 7 <= x <=10):}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$
$(f+g)(x) = {{:( (6)/(x \ - \ 1) , 0 <= x <4"," \ x!=1),((-x \ + \ 11)/(x \ - \ 1), 4 <= x <7),((4)/(x \ - \ 1), 7 <= x <=10):}$
$(f+g)(x) = (-x^2 + 20x - 18)/(x-1); \ \ 0 <= x <= 10 " and " x!=1$
$(f+g)(x) = (-x^2 + 20x - 18)/(x-1); \ \ x!=1$