9 Draw the graph of (x) = |2x 3|; x ∈ R; and find its domain - Maths - Relations and Functions

Question

9 Draw the graph of (x) = |2x – 3|; x ∈ R; and find its
domain & range
10 If (x) and g(x) are two functions such that (x) = 3x – 1,
g(x) = x2 + 2
Find (i) (f + g) (x) (ii) (f – g) (x) (iii) (f g) (x) (iv) f
g x

Brijendra Pal · Accepted Answer

Hi, 10th:f+gx= fx+gx= 3x-1+x2+2 = x2+3x+1f-gx= fx-gx= 3x-1-x2-2 = -x2+3x-3f
gx= fx×gx=  3x-1x2+2 = 3x3+6x-x2-2fgx= fxgx=3x-1x2+2Please post single query in a thread

9. Draw the graph of (x) = |2x – 3|; x ∈ R; and find its domain & range. 10. If (x) and g(x) are two functions such that (x) = 3x – 1, g(x) = x2 + 2. Find (i) (f + g) (x) (ii) (f – g) (x) (iii) (f. g) (x) (iv) f g x

9. Draw the graph of (x) = |2x – 3|; x ∈ R; and find its domain & range.
10. If (x) and g(x) are two functions such that (x) = 3x – 1, g(x) = x² + 2.
Find (i) (f + g) (x) (ii) (f – g) (x) (iii) (f. g) (x) (iv) $(\frac{f}{g}) (x)$