To find the values of x for which f(x) equals 7, we start by setting the function equal to 7:
0.5x^4 – 3 = 7
Next, we can add 3 to both sides of the equation to isolate the term with x:
0.5x^4 = 10
Now, let’s divide both sides by 0.5 to solve for x^4:
x^4 = 20
To find x, we take the fourth root of both sides:
x = ±(20)^(1/4)
Calculating the fourth root of 20, we can express it as:
x = ±√(√20)
For a decimal approximation, the fourth root of 20 is approximately ±2.11474. Hence, the values of x for which f(x) = 7 are:
x ≈ ±2.11474