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2 years ago

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Mathematics

1 answer:

luda_lava [24]2 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

(i)

to find h(g(x)) , substitute x = g(x) into h(x) , that is

h(g(x))

= h(2x - 3)

= 4(2x - 3)

= 8x - 12

(ii)

given

h(g(x)) = $\frac{1}{2}$ g(x) , then

8x - 12 = $\frac{1}{2}$ (2x - 3) ← multiply both sides by 2 to clear the fraction

16x - 24 = 2x - 3 ( subtract 2x from both sides )

14x - 24 = - 3 ( add 24 to both sides )

14x = 21 ( divide both sides by 14 )

x = $\frac{21}{14}$ = $\frac{3}{2}$ = 1.5

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4 years ago

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3 years ago

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