i. Given the functions g\left(x\right) = 5x - 2 find g^{-1}\left(x\righ

Suman Cole

Suman Cole

Answered question

2021-11-03

i. Given the functions g(x)=5x2 find g1(x)
4x+3
If one number is x and the other number is greater than x by 3
a) Represent the information given in equation form
b) Express as a quadratic equation
c) Solve the quadratic equation to find possible values for x
d) If told that the two numbers were positive, give the values of the two original numbers.

Answer & Explanation

Bertha Stark

Bertha Stark

Skilled2021-11-04Added 96 answers

To find the g1(x), we will equate the g(x) in terms of y, then express the x in terms of y and then value of x in terms y converted to in terms of x will be the g1(x).
then
y=5x24x+3
4xy+3y=5x2
4xy5x=3y2
x(4y5)=3y2 NK x=4y53y2
So, the
g1(x)=4y53y2

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