Functions (Theory of)
India
Class XI
Graphs of Composite Functions
Interactive practice questions
Consider the functions $f\left(x\right)=2x$f(x)=2x and $g\left(x\right)=4$g(x)=4.
a
If $y$y is defined as $y=f\left(x\right)+g\left(x\right)$y=f(x)+g(x), state the equation for $y$y.
b
Use the given graphs of $f\left(x\right)$f(x) and $g\left(x\right)$g(x) to graph the function $y$y.
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c
What transformation of $f\left(x\right)$f(x) does $y$y correspond to?
A vertical translation $4$4 units down.
A
A vertical dilation by a factor of $\frac{1}{4}$14.
B
A vertical dilation by a factor of $4$4.
C
A vertical translation $4$4 units up.
D
Easy
1min
A function $y$y is defined as $y=f\left(x\right)-g\left(x\right)$y=f(x)−g(x).
Easy
6min
Consider the following expression: $\frac{x^2-2x-8}{x+2}$x2−2x−8x+2
Easy
2min
Consider the rational expression: $\frac{x^2-5x+6}{x^2+2x-8}$x2−5x+6x2+2x−8
Easy
2min
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