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# Operations on Functions (Grades 11-12)

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## Operations on Functions

1.
Given $f(x)=3x+4 and g(x)=2x-3$, find $f(x)+g(x)$.
1. $5x+1$
2. $5x +7$
3. $x+1$
4. $x-1$
2.
Let $f(x)=3x+2 and g(x)=x-3.$ Find $f(x)-g(x)$.
1. $2x-5$
2. $2x+5$
3. $4x-1$
4. $2x-1$
3.
Find $(f + g)(x)$ if $f(x) = 4x - 3$ and $g(x) = x + 9$.
1. $4x^2 - 27$
2. $4x+6$
3. $5x+6$
4. $5x-6$
4.
Find $(f - g)(x)$ if $f(x) = 7x^2 - 9x + 1$ and $g(x) = -3x^2 + 5x -9$.
1. $4x^2-14x+10$
2. $10x^2-4x+10$
3. $4x^2-4x-8$
4. $10x^2-14x+10$
5.
$f(x)= -3x-5$ and $g(x)= 4x$. Find $(f*g) (x)$.
1. $1x -5$
2. $7x -5$
3. $12x^2 +20$
4. $-12x^2 - 20x$
6.
Find $(f+g)(x)$.

$f(x)=x-1$
$g(x)=5x-2$
1. $-2x+5$
2. $4x+1$
3. $6x+3$
4. $6x-3$
7.
Let $f(x)=3x +2 and g(x)=7x +6$. Find $(f*g)(x)$.
1. $6x^2 +4x +42$
2. $6x^2 +4x +56$
3. $21x^2 +32x +12$
4. $21 x^2 + 32x +24$
8.
$g(x)= 8x^2-3$ and $f(x)= -4x^2$.
Find $(g + f) (x)$.
1. $-32x^4-3$
2. $12x^4 - 3$
3. $4x^2 -3$
4. $4x^4 -3$
9.
Find $(f*g)(x)$ if $f(x) = 2x-5$ and $g(x) = x+3$.
1. $2x^2 -15$
2. $2x^2 + x -15$
3. $2x^2 + 11x -15$
4. $2x^2 - x +15$
10.
Given $f(x)=x^2-4x+6$ and $g(x)=7x-2$, find $f(x) + g(x)$.
1. $x^2+3x+4$
2. $x^2+11x+4$
3. $x^2+3x+8$
4. $x^2-3x-8$
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