3 years ago

Perform the indicated operation of g(x)=2x h(x)=3x+4 find (g-h) (x)

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

3 0

Answer: g(h(x))=6x +1 and h(g(x)) = 6x+7

Step-by-step explanation: Basically , this is a substitution exercise.

g(h(x)) = g(2x-1) . Now substitute x = 2x-1 in for x in g(x)

hence g(2x-1) = 3(2x-1)+4 = 6x - 3 + 4 = 6x + 1

Similarly : h(g(x)) = h(3x+4) substitute x = 3x+4 in h(x)

hence h(3x+4) = 2(3x + 4 ) - 1 = 6x + 8 - 1 = 6x + 7

You might be interested in

Simplify 3 - (4x - 5) + 6.<br> A) 12x + 21 <br> B) 4x + 14 <br> C) 4x + 4 <br> D) -4x + 14

stepladder [879]

Answer:

D) -4x+14

Step-by-step explanation:

We are given with the expression

3 - (4x - 5) + 6

Here we are going to open the bracket at first step

as we have a negative sign in front of bracket the signs of the terms inside brackets will be reversed

3-4x+5+6

now we bring the like terms together

3+5+6 - 4x

Here 3, 5, 6 all are constant and hence like

14-4x

3 - (4x - 5) + 6= -4x+14

Hence our answer is -4x+14

6 0

3 years ago

Anyone want to become friends? Add me on sc queenalyssa_05

soldi70 [24.7K]

Okay i will follow you

4 0

4 years ago

The measure of a central angle is 3x + 18 and the measure of its arc is 147 which equation can you use to find the value of x

steposvetlana [31]

3x + 18 = 147

3x = 129

x = 43

7 0

3 years ago

A pot of piping hot stew has been removed from the stove and left to cool.

Effectus [21]

Answer: 17.47 minutes

Step-by-step explanation:

8 0

3 years ago

Claire has a van she is using the van to deliver boxes. Each box is a cuboid, 60cm by 30cm by 40cm. The van has the shape for th

MakcuM [25]

15 boxes in total I’m pretty sure

5 0

3 years ago

Perform the indicated operation of g(x)=2x h(x)=3x+4 find (g-h) (x)​

Perform the indicated operation of g(x)=2x h(x)=3x+4 find (g-h) (x)