Question

Question:
Given that function f(x) = 10x + 4 and g(x) = 4x - 6 find the value of x for which
a) g(x) = x
b) f(x) = 34
c) f(x) = g(x)​

Answer 1

Answer:

The value of x for which f(x)=g(x) is:  -14

Step-by-step explanation:

From the above question:

f(x) = 10x + 4 and

g(x) = 4x - 6

Here we need to find the value of x.

Let g(y)= gof(x)

The value of y in terms of x is the function of f(x)

Given that g(x)=x²+x-1

Then g(y)=y²+y-1 [ putting x=y]

Therefore,

F(x) = 3x - 4

G(x) = 4x + 10

F(x) = g(x)

We have to find the value of x-

From equation,

       F(x) = g(x)

To find the value of x:

Put the value of f(x) and g(x) from equation- (i) and (ii) in equation-(iv),it becomes-

       3x - 4 = 4x + 10

       3x - 4x = 10 + 4

       -x = 14

        x = -14        

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